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

## 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) 60

(a) 60

^{o}(b) 50^{o}(c) 45^{o}(d) 75^{o}(e) 30^{o}
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

(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)

(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)

(a)

^{2}m^{2},2am)and(p^{2}m^{2},2pm) (b)(5pq,p2q)and(5qr,qr^{2})
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

(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

(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

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