# FRANK Solutions for Class 10 Maths Chapter 13 - Equation of A Straight Line

Score more marks by practising Frank Solutions for ICSE Class 10 Mathematics Chapter 13 Equation of a Straight Line. With the help of TopperLearning’s Frank textbook solutions, you can learn to find the slope of a line that is passing through a given pair of points. Also, understand the steps to calculate the slope a line that is parallel to the given lines.

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## Chapter 13 - Equation of A Straight Line Exercise Ex. 13.1

Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 Solution 12 Question 13 Solution 13 Question 14 Solution 14 Question 15 Solution 15 ## Chapter 13 - Equation of A Straight Line Exercise Ex. 13.2

Question 1
Find the slope of a line, correct of two decimals, whose inclination is

(a) 60o (b) 50o (c) 45o (d) 75o (e) 30o
Solution 1 Question 2
Find the inclination of a line whose gradient is

(a)0.4663 (b) 1.4281 (c) 3.0777 (d) 5.6713 (e) 0.5317
Solution 2 Question 3
Find the slope of a line passing through the given pair of points:

(a) (2,5) and (-1,8) (b) (3,7) and (5,13) (c) (-5,-1) and (-9,-7) (d) (9,-2) and (-5,5) (e) (0,5) and (5,0)
Solution 3 Question 4
Find the slope of a line passing through the following pairs of points:

(a)2m2,2am)and(p2m2,2pm) (b)(5pq,p2q)and(5qr,qr2)
Solution 4 Question 5
Find the slope of a line parallel to the given lines:

(a) 3x-2y = 5 (b) x +3y = 7 (c) 5x-y = 10 (d) 4x-2y = 3 (e) 5x + 2y = 11
Solution 5 Question 6
Find the value of a line perpendicular to the given lines:

(a) 2x-3y = 4 (b) 5x+2y-9 = 0 (c) 3x+4y = 13 (d) x-4y = 8 (e) 9x-3y = 5
Solution 6 Question 7
Find the slope of a line parallel to AB, if the coordinates of A and B are (3,-1) and (-7,5) respectively.
Solution 7 Question 8
Find the slope of a line parallel to MN, if the coordinates of M and N are (4,9) and (-2,3) respectively.
Solution 8 Question 9
Find the slope of a line parallel tp PQ, if the coordinates of P and Q are (11,-3) and (7,13) respectively.
Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12
Find p if the slope of the line passing through the point (-2.5) and (p,2p + 1) is 1.
Solution 12 Question 13
Find the slope and inclination of the line passing through (8,1) and (6,5).
Solution 13 Question 14
1. Find the slope and inclination of the line passing through (-5,7) and (7,-5).
Solution 14 Question 15 Solution 15 Question 16 Solution 16 Question 17
Without using distance formula, show that the points A(12,8), B(-2,6) and C(6,0) form a right-angled triangle.
Solution 17 Question 18
Without distance formula, show that the points P(2,1), Q(-1,-5), R(1,5) and S(-2,-1) form a parallelogram.
Solution 18 Question 19
Without distance formula, show that the points A(5,8), B(4,4), C(0,5) and D(1,9) form a rhombus.
Solution 19 Question 20
Without distance formula, show that the points M(1,7), N(4,8), O(5,5), and P(2,4) form a square.
Solution 20 ## Chapter 13 - Equation of A Straight Line Exercise Ex. 13.3

Question 1 Solution 1 Question 2 Solution 2 Question 3 Solution 3 Question 4 Solution 4 Question 5 Solution 5 Question 6 Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9 Solution 9 Question 10 Solution 10 Question 11 Solution 11 Question 12 Solution 12 Question 13 Solution 13 Question 14 Solution 14 Question 15 Solution 15 Question 16 Solution 16 Question 17 Solution 17 Question 18 Solution 18 Question 20 Solution 20 Question 21 Solution 21 Question 22 Solution 22 Question 25 Solution 25 ### STUDY RESOURCES

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