MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 36

HARD

10th CBSE

IMPORTANT

Earn 100

Find the values of $a$ and $b$ for which the following system of equations has infinitely many solutions:
$2 x - 3 y = 7$
$(a - b) x + (a + b) y = 3 a + b - 2$

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 36

Find the values of

\frac{2}{a - b} = \frac{7}{3 a + b - 2}

and

b

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

2 x + 3 y - 7 = 0

(a - 1) x + (a + 1) y = 3 a - 1

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 36

Find the values of

a

and

b

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

2 x + 3 y = 7

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

HARD

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 36

Find the values of

a

and

b

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

x + 2 y = 1

(a - b) x + (a + b) y = a + b - 2

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 36

Find the values of

a

and

b

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

2 x + 3 y = 7

2 a x + a y = 28 - b y

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 37

For which value(s) of

λ

, do the pair of linear equations

λ x + y = λ^{2} and x + λ y = 1

have no solution?

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 37

For which value(s) of

λ

, do the pair of linear equations

λ x + y = λ^{2} and x + λ y = 1

have infinitely many solutions?

EASY

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 37

For which value(s) of

λ

, do the pair of linear equations

λ x + y = λ^{2} and x + λ y = 1

have a unique solution?

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.6>Q 1

5

pens and

6

pencils together cost

₹ 9

and

3

pens and

2

pencils cost

₹ 5

. Find the cost of

1

pen and

1

pencil.