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# Frank solutions for Class 10 Maths chapter 13 - Equation of A Straight Line

## Chapter 13: Equation of A Straight Line

Exercise 13.1Exercise 13.2Exercise 13.3

#### Frank solutions for Class 10 Maths Chapter 13 Exercise Exercise 13.1 [Page 0]

Find if the following points lie on the given line or not:
(1,3) on the line 2x + 3y = 11

Find if the following points lie on the given line or not:

(5,3) on the line 3x - 5y + 5 = 0

Find if the following points lie on the given line or not:

(2,4) on the line y = 2x - 1

Find if the following points lie on the given line or not:

(-1, 5) on the line 3x = 2y -15

Find if the following points lie on the given line or not:

(7, -2) on the line 5x + 7y = 11

Find the value of m if the line 2x + 5y + 12 = 0 passes through the point
( 4,m ).

Find the value of p if the line 3y = 5x - 7 passes through the point (p,6).

Find the value of a if the line 4 x = 11 - 3y passes through the point (a, 5)

The line y = 6- (3"x")/2 passes through the point (r,3). Find the value of r.

The line (3 + 5"y")/2 = (4"x" - 7)/3 passes through the point ( 1, k). find the value of k

The line 4x + 3y = 11 bisects the join of ( 6,m) and (p,9). Find the value of m.

The line 2x - 5y + 31 = 0 bisects the join of (-4,5) and (P, 9). Find the value of p.

The line segment formed by the points (3, 7) and (-7, z) is bisected by the line 3x + 4y =18. Find the value of z.

The line 5x - 3y +1 = 0 divides the join of (2,m) and (7,9) in the ratio 2: 3. Find the value of m.

The line 7x - 8y = 4 divides join of (-8,-4) and (6,k) in the ratio of 2 : 5. Find the value of k.

The line 5x + 3y = 25 divides the join of (b,4) and (5, 8) in the ratio of 1 : 3. Find the value of b.

P is a point on the line segment AB dividing it in the ratio 2 : 3. If the coordinates of A and Bare (-2,3) and (8,8), find if Plies on the line 7x - 2y =4.

L is a point on the line segment PQ dividing it in the ratio 1 : 3. If the coordinates of P and Q are (3, 7) and ( 11,-5) respectively, find if L lies on the line 2x + 5y = 20.

The line segment formed by two points A (2,3) and B (5, 6) is divided by a point in the ratio 1 : 2. Find, whether the point of intersection lies on the line 3x - 4y + 5 = 0.

#### Frank solutions for Class 10 Maths Chapter 13 Exercise Exercise 13.2, Exercise 13.3 [Page 0]

Find the slope of a line, correct of two decimals, whose inclination is 60°

Find the slope of a line, correct of two decimals, whose inclination is 50°

Find the slope of a line, correct of two decimals, whose inclination is 45°

Find the slope of a line, correct of two decimals, whose inclination is 75°

Find the slope of a line, correct of two decimals, whose inclination is 30°

Find the inclination of a line whose gradient is 0.4663

Find the inclination of a line whose gradient is 1.4281

Find the inclination of a line whose gradient is 3.0777

Find the inclination of a line whose gradient is 5.6713

Find the inclination of a line whose gradient is  0.5317

Find the slope of a line passing through the given pair of points (2,5) and (-1,8)

Find the slope of a line passing through the given pair of points  (3,7) and (5,13)

Find the slope of a line passing through the given pair of points (-5,-1) and (-9,-7)

Find the slope of a line passing through the given pair of points (9,-2) and (-5,5)

Find the slope of a line passing through the given pair of points (0,5) and (5,0)

Find the slope of a line passing through the following pair of point

(²m²,2am) and (p²m²,2pm)

Find the slope of a line passing through the following pair of points

(5pq,p2q) and (5qr,qr2)

Find the slope of a line parallel to the given line 3x-2y = 5

Find the slope of a line parallel to the given line x +3y = 7

Find the slope of a line parallel to the given line 5x-y = 10

Find the slope of a line parallel to the given line 4x-2y = 3

Find the slope of a line parallel to the given line 5x + 2y = 11

Find the value of a line perpendicular to the given line  2x-3y = 4

Find the value of a line perpendicular to the given line  5x+2y-9 = 0

Find the value of a line perpendicular to the given line 3x+4y = 13

Find the value of a line perpendicular to the given line  x-4y = 8

Find the value of a line perpendicular to the given line 9x-3y = 5

Find the slope of a line parallel to AB, if the coordinates of A and B are (3,-1) and (-7,5) respectively.
Find the slope of a line parallel to MN, if the coordinates of M and N are (4,9) and (-2,3) respectively.
Find the slope of a line parallel tp PQ, if the coordinates of P and Q are (11,-3) and (7,13) respectively.

Find the slope of a line passing through the  points (x, 9) and (12, 6) is (-1)/3 = ("y"_2 - "y"_1)/("x"_2 - "x"_1)

Find m if the slope of the line passing through the point (-7,5) and (2,m) is 1/3

Find p if the slope of the line passing through the point (-2.5) and (p,2p +1) is 1.
Find the slope and inclination of the line passing through (8,1) and (6,5).
Find the slope and inclination of the line passing through (-5,7) and (7,-5).

Find the value of a line parallel to the following line:

x = "y"/2 - 5

Find the value of a line parallel to the following line:

x = 3"y"/2 + 2

Find the value of a line parallel to the following line:

(3"y")/4 + (5"y")/2 = 7

Find the value of a line parallel to the following line:

"x"/4 +"y"/3 = 1

Find the value of a line parallel to the following line:

(2"x")/5 + "y"/3 = 2

Find the slope of a line perpendicular to the foloowing line "x"/2 + "y"/3 = 4/3

Find the slope of a line perpendicular to the foloowing line  x - (3"y")/2 + 1 = 0

Find the slope of a line perpendicular to the foloowing line  (3"x")/4 -"y" = 5

Find the slope of a line perpendicular to the foloowing line 3x - 5y = 9

Find the slope of a line perpendicular to the foloowing line 4x + y = 7

Without using distance formula, show that the points A(12,8), B(-2,6) and C(6,0) form a right-angled triangle.
Without distance formula, show that the points P(2,1), Q(-1,-5), R(1,5) and S(-2,-1) form a parallelogram.
Without distance formula, show that the points A (5,8), B (4,4), C (0,5) and D (1,9) form a rhombus.
Without distance formula, show that the points M(1,7), N(4,8), O(5,5), and P(2,4) form a square.

#### Frank solutions for Class 10 Maths Chapter 13 Exercise Exercise 13.3 [Page 0]

Find the slope and the y-intercept of the following line 5x - 2y = 6

Find the slope and the y-intercept of the following line 3x + y = 7

Find the slope and the y-intercept of the following line 4y = 5x - 8

Find the slope and the y-intercept of the following line 2x + 3y = 12

Find the slope and the y-intercept of the following line  x - 2 = (5 - 3"y")/2

Find the equation of a line whose slope and y-intercept are m = (-6)/5, c = 3

Find the equation of a line whose slope and y-intercept are m = 2/3, c = -2

Find the equation of a line whose slope and y-intercept are m = (-1)/2, c = 5

Find the equation of a line whose slope and y-intercept are m = -3, c = -1

Find the equation of a line whose slope and y-intercept are m = 2, c = -5

Find the equation of a line passing through (2,5) and making and angle of 30° with the positive direction of the x-axis.

Find the equation of a line passing through (3,7) and making an angle of 60° with the negative direction of the x-axis.

Find the equation of a line passing through (8,3) and making an angle of 45° with the positive direction of the y-axis.

Find the equation of a line passing through (2,9)  and parallel to the line 3x + 4y = 11

Find the equation of a line passing through (-5,-1) and perpendicular to the 3x + y = 9

Find the equation of the perpendicular bisector of AB if the coordinates of A and B are (2,6) and ( 4,6).

Find the equation of a line perpendicular to the join of A(3,5) and B(-1,7) if it passes through the midpoint of AB.

Find the equation of a line passing through the intersection of x + 3y = 6 and 2x - 3y = 12 and parallel to the line 5x + 2y = 10

Find the equation of a line passing through the intersection of x + 2y + 1= 0 and 2x - 3y = 12 and perpendicular to the line 2x + 3y = 9

Find the equation of a line passing through the intersection of "x"/10 + "y"/5 = 14 and "x"/8 + "y"/6 = 15 and perpendicular to the line x - 2y = 5

The lines px + 5y + 7 = 0 and 2y = 5x - 6 are perpendicular to ach other. Find p.

The  lines 3x - 2y + 4 = 0 and 3x + my + 6 = 0 are parallel to each other . Find m.

Find the relation connecting p and q, if the lines py = 2x + 5 and qx + 3y = 2 are parallel to each other.

Find the relation connecting a and b, if the lines ay = 2x + 4 and 4y + bx = 2 are perpendicular to each other.

P(5,3), Q(-4,7) and R(8,3) are he vertices of a traingles. Find the equation of the median of the traiangle from p.

A(8,5), B (-2,1) and C(5,4) are the vertices of a triangle. Find the equation of the median of the traingle through C.

ABCD is rhombus. The coordinates of A and C ae (3,7) and (9,15). Find the equation of BD.

ABCD is a square. The cooordinates of B and D are (-3, 7) and (5, -1) respectively. Find the equation of AC.

The coordinates of two points P and Q are (0,4) and (3,7) respectively. Find

(ii) the equation of PQ

(iii) the coordinates of the point where the line AB intersects the X-axis.

X(4,9), Y(-5,4) and Z(7,-4) are the vertices of a triangle. Find the equation of the altitude of the triangle through X.

## Chapter 13: Equation of A Straight Line

Exercise 13.1Exercise 13.2Exercise 13.3

## Frank solutions for Class 10 Mathematics chapter 13 - Equation of A Straight Line

Frank solutions for Class 10 Maths chapter 13 (Equation of A 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 CISCE Frank Class 10 Mathematics Part 2 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. Frank textbook solutions can be a core help for self-study and acts as a perfect self-help guidance for students.

Concepts covered in Class 10 Mathematics chapter 13 Equation of A Straight Line are Slope of a Line, Concept of Slope, Equation of a Line, Various Forms of Straight Lines, General Equation of a Line, Slope – Intercept Form, Two - Point Form, Geometric Understanding of ‘m’ as Slope Or Gradient Or tanθ Where θ Is the Angle the Line Makes with the Positive Direction of the x Axis, Geometric Understanding of c as the y-intercept Or the Ordinate of the Point Where the Line Intercepts the y Axis Or the Point on the Line Where x=0, Conditions for Two Lines to Be Parallel Or Perpendicular, Simple Applications of All Co-ordinate Geometry..

Using Frank Class 10 solutions Equation of A 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 Frank Solutions are important questions that can be asked in the final exam. Maximum students of CISCE Class 10 prefer Frank Textbook Solutions to score more in exam.

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