हिंदी

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 1a+1b = - Mathematics and Statistics

Advertisements
Advertisements

प्रश्न

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"` =

विकल्प

  • −1

  • 0

  • 1

  • `1/"ab"`

MCQ
Advertisements

उत्तर

1

Explanation;

Line passes through (a, 0), (0, b).

∴ x-intercept = a, y-intercept = b

∴ Equation of line is `x/"a" + y/"b"` = 1   ...(i)

Since line (i) passes through (1, 1), (1, 1) satisfies (i)

∴ `1/"a" + 1/"b"` = 1

shaalaa.com
Equations of Line in Different Forms
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Straight Line - Miscellaneous Exercise 5 [पृष्ठ १२४]

APPEARS IN

बालभारती Mathematics and Statistics 1 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 5 Straight Line
Miscellaneous Exercise 5 | Q I. (2) | पृष्ठ १२४

संबंधित प्रश्न

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


Obtain the equation of the line :

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


Obtain the equation of the line :

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


Obtain the equation of the line containing the point :

A(2, – 3) and parallel to the Y−axis


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


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


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


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


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


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


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


Find the x and y intercept of the following line:

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


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


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


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


Answer the following question:

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


Answer the following question:

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


Answer the following question:

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


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)


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.


Answer the following question:

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


Answer the following question:

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


If the equation kxy + 5x + 3y + 2 = 0 represents a pair of lines, then k = ____________.


The lines `(x + 1)/(-10) = (y + 3)/-1 = (z - 4)/1` and `(x + 10)/(-1) = (y + 1)/-3 = (z - 1)/4` intersect at the point ______ 


The point A(b, a) lies on the straight line 2x + 3y = 13 and the point B(a, b) lies on the straight line -x + 4y = 5, then the equation of line AB is ______


A Plane cuts the coordinate axes X, Y, Z at A, B, C respectively such that the centroid of the Δ ABC is (6, 6, 3). Then the equation of that plane is ______.


The line L given by `x/5+y/b=1` passes through the point (13, 32). The line K is parallel to L and its equation is `x/c+y/3=1`. Then, the distance between L and K is ______.


Let the perpendiculars from any point on the line 7x + 56y = 0 upon 3x + 4y = 0 and 5x – 12y = 0 be p and p', then ______.


Area of the parallelogram formed by the lines y = mx, y = mx + 1, y = nx and y = nx + 1 is equal to ______.


N(3, – 4) is the foot of the perpendicular drawn from the origin to a line L. Then, the equation of the line L is ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×