## 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 Solution 2 Question 3 Solution 3 Question 4
Find p if the slope of the line passing through the point (-2.5) and (p,2p + 1) is 1.
Solution 4 Question 5
Find the slope and inclination of the line passing through (8,1) and (6,5).
Solution 5 Question 6
1. Find the slope and inclination of the line passing through (-5,7) and (7,-5).
Solution 6 Question 7 Solution 7 Question 8 Solution 8 Question 9
Without using distance formula, show that the points A(12,8), B(-2,6) and C(6,0) form a right-angled triangle.
Solution 9 Question 10
Without distance formula, show that the points P(2,1), Q(-1,-5), R(1,5) and S(-2,-1) form a parallelogram.
Solution 10 Question 11
Without distance formula, show that the points A(5,8), B(4,4), C(0,5) and D(1,9) form a rhombus.
Solution 11 Question 12
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 12 Question 13
Without distance formula, show that the points M(1,7), N(4,8), O(5,5), and P(2,4) form a square.
Solution 13 Question 14
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 14 Question 15
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 15 Question 16
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 16 Question 17
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 17 Question 18
Find the slope of a line parallel to AB, if the coordinates of A and B are (3,-1) and (-7,5) respectively.
Solution 18 Question 19
Find the slope of a line parallel to MN, if the coordinates of M and N are (4,9) and (-2,3) respectively.
Solution 19 Question 20
Find the slope of a line parallel tp PQ, if the coordinates of P and Q are (11,-3) and (7,13) respectively.
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 19 Solution 19 Question 20 Solution 20 Question 21 Solution 21 Question 22 Solution 22 