MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 14

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10th CBSE

IMPORTANT

Earn 100

Find the value of $k$ for which the following system of equations has infinitely many solutions:
$2 x + 3 y = 2$
$(k + 2) x + (2 k + 1) y = 2 (k - 1)$

Important Questions on Pair of Linear Equations in Two Variables

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 15

Find the value of

k

for which each of the following system of equations have infinitely many solutions:

x + (k + 1) y = 4

(k + 1) x + 9 y = 5 k + 2

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 16

Find the value of

k

for which the following system of equations have infinitely many solutions:

k x + 3 y = 2 k + 1

2 (k + 1) x + 9 y = 7 k + 1

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 17

Find the value of

k

for which the following system of equations has infinitely many solutions:

2 x + (k - 2) y = k

6 x + (2 k - 1) y = 2 k + 5

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 18

Find the value of

k

for which each of the following system of equations have infinitely many solution.

2 x + 3 y = 7

(k + 1) x + (2 k - 1) y = 4 k + 1

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 19

Find the value of

k

for which the following system of equations has infinitely many solutions:

2 x + 3 y = k

(k - 1) x + (k + 2) y = 3 k

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 20

Find the value of

k

for which each of the following system of equations have no solution :

k x - 5 y = 2

6 x + 2 y = 7

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 21

Find the value of

k

for which each of the following system of equations have no solution :

x + 2 y = 0

2 x + k y = 5

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 22

Find the value of

k

for which each of the following system of equations have no solution:

3 x - 4 y + 7 = 0

k x + 3 y - 5 = 0