Chapter 13 : Equation of A Straight Line - Frank Solutions for Class 10 Maths ICSE

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Chapter 13 - Equation of A Straight Line Excercise 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 Excercise 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 Excercise 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

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