Maharashtra State BoardHSC Science (General) 11th
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Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board chapter 5 - Straight Line [Latest edition]

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Chapters

Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board - Shaalaa.com

Chapter 5: Straight Line

Exercise 5.1Exercise 5.2Exercise 5.3Exercise 5.4Miscellaneous Exercise 5
Exercise 5.1 [Pages 105 - 106]

Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board Chapter 5 Straight Line Exercise 5.1 [Pages 105 - 106]

Exercise 5.1 | Q 1 | Page 105

If A(1,3) and B(2,1) are points, find the equation of the locus of point P such that PA = PB

Exercise 5.1 | Q 2 | Page 105

A(−5, 2) and B(4, 1). Find the equation of the locus of point P, which is equidistant from A and B

Exercise 5.1 | Q 3 | Page 105

If A(2, 0) and B(0, 3) are two points, find the equation of the locus of point P such that AP = 2BP

Exercise 5.1 | Q 4 | Page 105

If A(4, 1) and B(5, 4), find the equation of the locus of point P if PA2 = 3PB2 

Exercise 5.1 | Q 5 | Page 105

A(2, 4) and B(5, 8), find the equation of the locus of point P such that PA2 − PB2 = 13

Exercise 5.1 | Q 6 | Page 105

A(1, 6) and B(3, 5), find the equation of the locus of point P such that segment AB subtends right angle at P. (∠APB = 90°)

Exercise 5.1 | Q 7. (a) | Page 105

If the origin is shifted to the point O′(2, 3), the axes remaining parallel to the original axes, find the new co-ordinates of the point A(1, 3)

Exercise 5.1 | Q 7. (b) | Page 105

If the origin is shifted to the point O′(2, 3), the axes remaining parallel to the original axes, find the new coordinates of the point B(2, 5)

Exercise 5.1 | Q 8. (a) | Page 106

If the origin is shifted to the point O′(1, 3) the axes remaining parallel to the original axes, find the old coordinates of the point C(5, 4)

Exercise 5.1 | Q 8. (b) | Page 106

If the origin is shifted to the point O′(1, 3) the axes remaining parallel to the original axes, find the old coordinates of the point D(3, 3)

Exercise 5.1 | Q 9 | Page 106

If the co-ordinates A(5, 14) change to B(8, 3) by shift of origin, find the co-ordinates of the point where the origin is shifted

Exercise 5.1 | Q 10. (a) | Page 106

Obtain the new equation of the following loci if the origin is shifted to the point O'(2, 2), the direction of axes remaining the same:

3x − y + 2 = 0

Exercise 5.1 | Q 10. (b) | Page 106

Obtain the new equation of the following loci if the origin is shifted to the point O'(2, 2), the direction of axes remaining the same:

x2 + y2 – 3x = 7

Exercise 5.1 | Q 10. (c) | Page 106

Obtain the new equation of the following loci if the origin is shifted to the point O'(2, 2), the direction of axes remaining the same:

xy − 2x − 2y + 4 = 0

Exercise 5.1 | Q 10. (d) | Page 106

Obtain the new equation of the following loci if the origin is shifted to the point O'(2, 2), the direction of axes remaining the same:

y2 − 4x − 4y + 12 = 0

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Exercise 5.2 [Page 109]

Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board Chapter 5 Straight Line Exercise 5.2 [Page 109]

Exercise 5.2 | Q 1. (a) | Page 109

Find the slope of the following line which passes through the point:

A(2,−1), B(4,3)

Exercise 5.2 | Q 1. (b) | Page 109

Find the slope of the following line which passes through the point:

C(−2,3), D(5,7)

Exercise 5.2 | Q 1. (c) | Page 109

Find the slope of the following line which passes through the point:

E(2,3), F(2,−1)

Exercise 5.2 | Q 1. (d) | Page 109

Find the slope of the following line which passes through the point:

G(7, 1), H(−3, 1)

Exercise 5.2 | Q 2 | Page 109

If the X and Y-intercepts of lines L are 2 and 3 respectively then find the slope of line L.

Exercise 5.2 | Q 3 | Page 109

Find the slope of the line whose inclination is 30°

Exercise 5.2 | Q 4 | Page 109

Find the slope of the line whose inclination is `pi/4`

Exercise 5.2 | Q 5 | Page 109

A line makes intercepts 3 and 3 on the co-ordiante axes. Find the inclination of the line

Exercise 5.2 | Q 6 | Page 109

Without using Pythagoras theorem show that points A(4,4), B(3, 5) and C(−1, −1) are the vertices of a right angled triangle

Exercise 5.2 | Q 7 | Page 109

Find the slope of the line which makes angle of 45° with the positive direction of the Y-axis measured anticlockwise

Exercise 5.2 | Q 8 | Page 109

Find the value of k for which points P(k,−1),Q(2,1) and R(4,5) are collinear

Exercise 5.2 | Q 9 | Page 109

Find the acute angle between the X-axis and the line joining points A(3,−1) and B(4,−2)

Exercise 5.2 | Q 10 | Page 109

A line passes through points A(x1, y1) and B(h, k). If the slope of the line is m then show that k − y1 = m(h − x1)

Exercise 5.2 | Q 11 | Page 109

If points A(h, 0), B(0, k) and C(a, b) lie on a line then show that `"a"/"h" + "b"/"k"` = 1

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Exercise 5.3 [Pages 114 - 115]

Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board Chapter 5 Straight Line Exercise 5.3 [Pages 114 - 115]

Exercise 5.3 | Q 1. (a) | Page 114

Write the equation of the line :

parallel to the X−axis and at a distance of 5 unit form it and above it

Exercise 5.3 | Q 1. (b) | Page 114

Write the equation of the line :

parallel to the Y−axis and at a distance of 5 unit form it and to the left of it

Exercise 5.3 | Q 1. (c) | Page 114

Write the equation of the line :

parallel to the X-axis and at a distance of 4 unit form the point (−2, 3)

Exercise 5.3 | Q 2. (a) | Page 114

Obtain the equation of the line :

parallel to the X−axis and making an intercept of 3 unit on the Y−axis

Exercise 5.3 | Q 2. (b) | Page 114

Obtain the equation of the line :

parallel to the Y−axis and making an intercept of 4 unit on the X−axis

Exercise 5.3 | Q 3. (a) | Page 114

Obtain the equation of the line containing the point :

A(2, – 3) and parallel to the Y−axis

Exercise 5.3 | Q 3. (b) | Page 114

Obtain the equation of the line containing the point :

B(4,–3) and parallel to the X−axis

Exercise 5.3 | Q 4. (a) | Page 114

Find the equation of the line passing through the points A(2, 0), and B(3, 4)

Exercise 5.3 | Q 4. (b) | Page 114

Find the equation of the line passing through the points P(2, 1) and Q(2, –1)

Exercise 5.3 | Q 5. (a) | Page 114

Find the equation of the line containing the origin and having inclination 60°

Exercise 5.3 | Q 5. (b) | Page 114

Find the equation of the line passing through the origin and parallel to AB, where A is (2, 4) and B is (1, 7)

Exercise 5.3 | Q 5. (c) | Page 114

Find the equation of the line having slope `1/2` and containing the point (3,−2)

Exercise 5.3 | Q 5. (d) | Page 114

Find the equation of the line containing point A(3,5) and having slope `2/3`

Exercise 5.3 | Q 5. (e) | Page 114

Find the equation of the line containing point A(4, 3) and having inclination 120°

Exercise 5.3 | Q 5. (f) | Page 114

Find the equation of the line passing through the origin and which bisects the portion of the line 3x + y = 6 intercepted between the co−ordinate axes.

Exercise 5.3 | Q 6 | Page 114

Line y = mx + c passes through points A(2,1) and B(3,2). Determine m and c.

Exercise 5.3 | Q 7 | Page 114

Find the equation of the line having inclination 135° and making X-intercept 7

Exercise 5.3 | Q 8. (a) | Page 114

The vertices of a triangle are A(3, 4), B(2, 0), and C(−1, 6). Find the equation of the line containing side BC

Exercise 5.3 | Q 8. (b) | Page 114

The vertices of a triangle are A(3, 4), B(2, 0), and C(−1, 6). Find the equation of the line containing the median AD

Exercise 5.3 | Q 8. (c) | Page 114

The vertices of a triangle are A(3, 4), B(2, 0), and C(−1, 6). Find the equation of the line containing the midpoints of sides AB and BC

Exercise 5.3 | Q 9. (a) | Page 114

Find the x and y intercept of the following line:

`x/3 + y/2` = 1

Exercise 5.3 | Q 9. (b) | Page 114

Find the x and y intercept of the following line:

`(3x)/2 + (2y)/3` = 1

Exercise 5.3 | Q 9. (c) | Page 114

Find the x and y intercept of the following line:

2x − 3y + 12 = 0

Exercise 5.3 | Q 10 | Page 115

Find equations of lines which contains the point A(1,3) and the sum of whose intercepts on the co−ordinate axes is zero.

Exercise 5.3 | Q 11 | Page 115

Find equations of lines containing the point A(3,4) and making equal intercepts on the co−ordinates axes

Exercise 5.3 | Q 12 | Page 115

Find equations of altitudes of the triangle whose vertices are A(2,5), B(6,–1) and C(–4,–3).

Exercise 5.3 | Q 13 | Page 115

Find the equations of perpendicular bisectors of sides of the triangle whose vertices are P(−1, 8), Q(4, −2), and R(−5, −3)

Exercise 5.3 | Q 14 | Page 115

Find the coordinates of the orthocenter of the triangle whose vertices are A(2, −2), B(1, 1), and C(−1, 0).

Exercise 5.3 | Q 15 | Page 115

N(3,−4) is the foot of the perpendicular drawn from the origin to line L. Find the equation of line L

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Exercise 5.4 [Page 122]

Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board Chapter 5 Straight Line Exercise 5.4 [Page 122]

Exercise 5.4 | Q 1. (a) | Page 122

Find the slope, X-intercept, Y-intercept of the following line:

2x + 3y – 6 = 0

Exercise 5.4 | Q 1. (b) | Page 122

Find the slope, X-intercept, Y-intercept of the following line:

3x − y − 9 = 0

Exercise 5.4 | Q 1. (c) | Page 122

Find the slope, X-intercept, Y-intercept of the following line:

x + 2y = 0

Exercise 5.4 | Q 2. (a) | Page 122

Write the following equation in ax + by + c = 0 form.

y = 2x – 4

Exercise 5.4 | Q 2. (b) | Page 122

Write the following equation in ax + by + c = 0 form.

y = 4

Exercise 5.4 | Q 2. (c) | Page 122

Write the following equation in ax + by + c = 0 form.

`x/2 + y/4` = 1

Exercise 5.4 | Q 2. (d) | Page 122

Write the following equation in ax + by + c = 0 form.

`x/3 - y/2` = 0

Exercise 5.4 | Q 3 | Page 122

Show that lines x – 2y – 7 = 0 and 2x − 4y + 15 = 0 are parallel to each other

Exercise 5.4 | Q 4 | Page 122

Show that lines x − 2y − 7 = 0 and 2x + y + 1 = 0 are perpendicular to each other. Find their point of intersection

Exercise 5.4 | Q 5 | Page 122

If the line 3x + 4y = p makes a triangle of area 24 square unit with the co-ordinate axes then find the value of p 

Exercise 5.4 | Q 6 | Page 122

Find the co-ordinates of the foot of the perpendicular drawn from the point A(–2, 3) to the line 3x – y – 1 = 0

Exercise 5.4 | Q 7 | Page 122

Find the co-ordinates of the circumcenter of the triangle whose vertices are A(–2, 3), B(6, –1),C(4, 3)

Exercise 5.4 | Q 8 | Page 122

Find the co-ordinates of the orthocenter of the triangle whose vertices are A(3, –2), B(7, 6), C (–1, 2)

Exercise 5.4 | Q 9 | Page 122

Show that lines 3x − 4y + 5 = 0, 7x − 8y + 5 = 0, and 4x + 5y − 45 = 0 are concurrent. Find their point of concurrence

Exercise 5.4 | Q 10 | Page 122

Find the equation of the line whose X-intercept is 3 and which is perpendicular to the line 3x − y + 23 = 0

Exercise 5.4 | Q 11 | Page 122

Find the distance of the origin from the line 7x + 24y – 50 = 0

Exercise 5.4 | Q 12 | Page 122

Find the distance of the point A(−2, 3) from the line 12x − 5y − 13 = 0 

Exercise 5.4 | Q 13 | Page 122

Find the distance between parallel lines 4x − 3y + 5 = 0 and 4x − 3y + 7 = 0

Exercise 5.4 | Q 14 | Page 122

Find the distance between parallel lines 9x + 6y − 7 = 0 and 3x + 2y + 6 = 0

Exercise 5.4 | Q 15 | Page 122

Find points on the line x + y − 4 = 0 which are at one unit distance from the line x + y − 2 = 0

Exercise 5.4 | Q 16 | Page 122

Find the equation of the line parallel to the X-axis and passing through the point of intersection of lines x + y − 2 = 0 and 4x + 3y = 10

Exercise 5.4 | Q 17 | Page 122

Find the equation of the line passing through the point of intersection of lines x + y − 2 = 0 and 2x − 3y + 4 = 0 and making intercept 3 on the X-axis

Exercise 5.4 | Q 18 | Page 122

If A(4, 3), B(0, 0), and C(2, 3) are the vertices of ∆ABC then find the equation of bisector of angle BAC.

Exercise 5.4 | Q 19. (i) | Page 122

D(−1, 8), E(4, −2), F(−5, −3) are midpoints of sides BC, CA and AB of ∆ABC Find equations of sides of ∆ABC

Exercise 5.4 | Q 19. (ii) | Page 122

D(−1, 8), E(4, −2), F(−5, −3) are midpoints of sides BC, CA and AB of ∆ABC Find co-ordinates of the circumcenter of ΔABC

Exercise 5.4 | Q 20 | Page 122

O(0, 0), A(6, 0) and B(0, 8) are vertices of a triangle. Find the co-ordinates of the incenter of ∆OAB

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Miscellaneous Exercise 5 [Page 124]

Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board Chapter 5 Straight Line Miscellaneous Exercise 5 [Page 124]

Miscellaneous Exercise 5 | Q I. (1) | Page 124

Select the correct option from the given alternatives:

If A is (5,−3) and B is a point on the x−axis such that the slope of line AB is −2 then B ≡

  • (7, 2)

  • `(7/2, 0)`

  • `(0, 7/2)`

  • `(2/7, 0)`

Miscellaneous Exercise 5 | Q I. (2) | Page 124

Select the correct option from the given alternatives:

If the point (1, 1) lies on the line passing through the points (a, 0) and (0, b), then `1/"a" + 1/"b"` =

  • −1

  • 0

  • 1

  • `1/"ab"`

Miscellaneous Exercise 5 | Q I. (3) | Page 124

Select the correct option from the given alternatives:

If A(1,−2), B(−2,3) and C(2,−5) are the vertices of ∆ABC, then the equation of the median BE is

  • 7x + 13y + 47 = 0

  • 13x + 7y + 5 = 0

  • 7x − 13y + 5 = 0

  • 13x − 7y − 5 = 0

Miscellaneous Exercise 5 | Q I. (4) | Page 124

Select the correct option from the given alternatives:

The equation of the line through (1, 2), which makes equal intercepts on the axes, is

  • x + y = 1

  • x + y = 2

  • x + y = 4

  • x + y = 3

Miscellaneous Exercise 5 | Q I. (5) | Page 124

Select the correct option from the given alternatives:

If the line kx + 4y = 6 passes through the point of intersection of the two lines 2x + 3y = 4 and 3x + 4y = 5, then k =

  • 1

  • 2

  • 3

  • 4

Miscellaneous Exercise 5 | Q I. (6) | Page 124

Select the correct option from the given alternatives:

The equation of a line, having inclination 120° with positive direction of X−axis, which is at a distance of 3 units from the origin is

  • `sqrt(3x) ± y + 6` = 0

  • `sqrt(3x) + y ± 6` = 0

  • x + y = 6

  • x + y = – 6

Miscellaneous Exercise 5 | Q I. (7) | Page 124

Select the correct option from the given alternatives:

A line passes through (2, 2) and is perpendicular to the line 3x + y = 3. Its y−interecpt is

  • `1/3`

  • `2/3`

  • 1

  • `4/3`

Miscellaneous Exercise 5 | Q I. (8) | Page 124

Select the correct option from the given alternatives:

The angle between the line `sqrt(3)x - y - 2` = 0 and `x - sqrt(3)y + 1` = 0 is 

  • 15°

  • 30°

  • 45°

  • 60°

Miscellaneous Exercise 5 | Q I. (9) | Page 124

Select the correct option from the given alternatives:

If kx + 2y − 1 = 0 and 6x − 4y + 2 = 0 are identical lines, then determine k

  • −3

  • `-1/3`

  • `1/3`

  • 3

Miscellaneous Exercise 5 | Q I. (10) | Page 124

Select the correct option from the given alternatives:

Distance between the two parallel lines y = 2x + 7 and y = 2x + 5 is

  • `sqrt(2)/sqrt(5)`

  • `1/sqrt(5)`

  • `sqrt(5)/2`

  • `2/sqrt(5)`

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Miscellaneous Exercise 5 [Pages 124 - 126]

Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board Chapter 5 Straight Line Miscellaneous Exercise 5 [Pages 124 - 126]

Miscellaneous Exercise 5 | Q II. (1) (a) | Page 124

Answer the following question:

Find the value of k if the slope of the line passing through the points P(3, 4), Q(5, k) is 9

Miscellaneous Exercise 5 | Q II. (1) (b) | Page 124

Answer the following question:

Find the value of k the points A(1, 3), B(4, 1), C(3, k) are collinear

Miscellaneous Exercise 5 | Q II. (1) (c) | Page 124

Answer the following question:

Find the value of k the point P(1, k) lies on the line passing through the points A(2, 2) and B(3, 3)

Miscellaneous Exercise 5 | Q II. (2) | Page 124

Answer the following question:

Reduce the equation 6x + 3y + 8 = 0 into slope-intercept form. Hence find its slope

Miscellaneous Exercise 5 | Q II. (3) | Page 124

Answer the following question:

Find the distance of the origin from the line x = – 2

Miscellaneous Exercise 5 | Q II. (4) | Page 124

Answer the following question:

Does point A(2, 3) lie on the line 3x + 2y – 6 = 0? Give reason.

Miscellaneous Exercise 5 | Q II. (5) | Page 125

Answer the following question:

Which of the following lines passes through the origin?

  • x = 2

  • y = 3

  • y = x + 2

  • 2x – y = 0

Miscellaneous Exercise 5 | Q II. (6) (a) | Page 125

Answer the following question:

Obtain the equation of the line which is parallel to the X−axis and 3 unit below it.

Miscellaneous Exercise 5 | Q II. (6) (b) | Page 125

Answer the following question:

Obtain the equation of the line which is parallel to the Y−axis and 2 units to the left of it.

Miscellaneous Exercise 5 | Q II. (6) (c) | Page 125

Answer the following question:

Obtain the equation of the line which is parallel to the X−axis and making an intercept of 5 on the Y−axis.

Miscellaneous Exercise 5 | Q II. (6) (d) | Page 125

Answer the following question:

Obtain the equation of the line which is parallel to the Y−axis and making an intercept of 3 on the X−axis.

Miscellaneous Exercise 5 | Q II. (7) (i) | Page 125

Answer the following question:

Obtain the equation of the line containing the point (2,3) and parallel to the X−axis

Miscellaneous Exercise 5 | Q II. (7) (ii) | Page 125

Answer the following question:

Obtain the equation of the line containing the point (2, 4) and perpendicular to the Y−axis

Miscellaneous Exercise 5 | Q II. (8) (a) | Page 125

Answer the following question:

Find the equation of the line having slope 5 and containing point A(–1, 2).

Miscellaneous Exercise 5 | Q II. (8) (b) | Page 125

Answer the following question:

Find the equation of the line containing the point T(7, 3) and having inclination 90°.

Miscellaneous Exercise 5 | Q II. (8) (c) | Page 125

Answer the following question:

Find the equation of the line through the origin which bisects the portion of the line 3x + 2y = 2 intercepted between the co−ordinate axes.

Miscellaneous Exercise 5 | Q II. (9) | Page 125

Answer the following question:

Find the equation of the line passing through the points S(2, 1) and T(2, 3)

Miscellaneous Exercise 5 | Q II. (10) | Page 125

Answer the following question:

Find the distance of the origin from the line 12x + 5y + 78 = 0

Miscellaneous Exercise 5 | Q II. (11) | Page 125

Answer the following question:

Find the distance between the parallel lines 3x + 4y + 3 = 0 and 3x + 4y + 15 = 0

Miscellaneous Exercise 5 | Q II. (12) | Page 125

Answer the following question:

Find the equation of the line which contains the point A(3, 5) and makes equal intercepts on the co−ordinates axes.

Miscellaneous Exercise 5 | Q II. (13) (a) | Page 125

Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6). Find equations of the sides

Miscellaneous Exercise 5 | Q II. (13) (b) | Page 125

Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of the medians

Miscellaneous Exercise 5 | Q II. (13) (c) | Page 125

Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of Perpendicular bisectors of sides

Miscellaneous Exercise 5 | Q II. (13) (d) | Page 125

Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of altitudes of ∆ABC

Miscellaneous Exercise 5 | Q II. (14) | Page 125

Answer the following question:

Find the equation of the line which passes through the point of intersection of lines x + y − 3 = 0, 2x − y + 1 = 0 and which is parallel X-axis

Miscellaneous Exercise 5 | Q II. (15) | Page 125

Answer the following question:

Find the equation of the line which passes through the point of intersection of lines x + y + 9 = 0 , 2x + 3y + 1 = 0 and which makes X-intercept 1.

Miscellaneous Exercise 5 | Q II. (16) | Page 125

Answer the following question:

Find the equation of the line through A(−2, 3) and perpendicular to the line through S(1, 2) and T(2, 5)

Miscellaneous Exercise 5 | Q II. (17) | Page 125

Answer the following question:

Find the X−intercept of the line whose slope is 3 and which makes intercept 4 on the Y−axis

Miscellaneous Exercise 5 | Q II. (18) | Page 125

Answer the following question:

Find the distance of P(−1, 1) from the line 12(x + 6) = 5(y − 2)

Miscellaneous Exercise 5 | Q II. (19) | Page 125

Answer the following question:

Line through A(h, 3) and B(4, 1) intersect the line 7x − 9y − 19 = 0 at right angle Find the value of h

Miscellaneous Exercise 5 | Q II. (20) | Page 125

Answer the following question:

Two lines passing through M(2, 3,) intersect each other at an angle of 45°. If slope of one line is 2, find the equation of the other line

Miscellaneous Exercise 5 | Q II. (21) | Page 125

Answer the following question:

Find the Y-intercept of the line whose slope is 4 and which has X intercept 5

Miscellaneous Exercise 5 | Q II. (22) | Page 126

Answer the following question:

Find the equations of the diagonals of the rectangle whose sides are contained in the lines x = 8, x = 10, y = 11 and y = 12

Miscellaneous Exercise 5 | Q II. (23) | Page 126

Answer the following question:

A(1, 4), B(2,3) and C(1, 6) are vertices of ∆ABC. Find the equation of the altitude through B and hence find the co-ordinates of the point where this altitude cuts the side AC of ∆ABC

Miscellaneous Exercise 5 | Q Ii. (24) | Page 126

Answer the following question:

The vertices of ∆PQR are P(2,1), Q(-2,3) and R(4,5). Find the equation of the median through R

Miscellaneous Exercise 5 | Q II. (25) | Page 126

Answer the following question:

A line perpendicular to segment joining A(1, 0) and B(2, 3) divides it internally in the ration 1: 2. Find the equation of the line

Miscellaneous Exercise 5 | Q II. (26) | Page 126

Answer the following question:

Find the co-ordinates of the foot of the perpendicular drawn from the point P(−1, 3) the line 3x − 4y − 16 = 0

Miscellaneous Exercise 5 | Q II. (27) | Page 126

Answer the following question:

Find points on the X-axis whose distance from the line `x/3 + y/4` = 1 is 4 unit

Miscellaneous Exercise 5 | Q II. (28) | Page 126

Answer the following question:

The perpendicular from the origin to a line meets it at (−2 9 ). Find the equation of the line

Miscellaneous Exercise 5 | Q II. (29) | Page 126

Answer the following question:

P(a, b) is the mid point of a line segment between axes. Show that the equation of the line is `x/"a" + y/"b"` = 2

Miscellaneous Exercise 5 | Q II. (30) | Page 126

Answer the following question:

Find the distance of the line 4x − y = 0 from the point P(4, 1) measured along the line making an angle of 135° with the positive X-axis

Miscellaneous Exercise 5 | Q II. (31) | Page 126

Answer the following question:

Show that there are two lines which pass through A(3,4) and the sum of whose intercepts is zero

Miscellaneous Exercise 5 | Q II. (32) | Page 126

Answer the following question:

Show that there is only one line which passes through B(5,5) and the sum of whose intercept is zero

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Chapter 5: Straight Line

Exercise 5.1Exercise 5.2Exercise 5.3Exercise 5.4Miscellaneous Exercise 5
Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board - Shaalaa.com

Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board chapter 5 - Straight Line

Balbharati solutions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board chapter 5 (Straight Line) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster.

Further, we at Shaalaa.com provide such solutions so that students can prepare for written exams. Balbharati textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board chapter 5 Straight Line are Locus of a Points in a Co-ordinate Plane, Straight Lines, Equations of Line in Different Forms, General Form of Equation of a Line, Family of Lines.

Using Balbharati 11th solutions Straight Line exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Balbharati Solutions are important questions that can be asked in the final exam. Maximum students of Maharashtra State Board 11th prefer Balbharati Textbook Solutions to score more in exam.

Get the free view of chapter 5 Straight Line 11th extra questions for Mathematics and Statistics 1 (Arts and Science) 11th Standard Maharashtra State Board and can use Shaalaa.com to keep it handy for your exam preparation

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