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

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