MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 33

MEDIUM

10th CBSE

IMPORTANT

Earn 100

Determine the values of $a$ and $b$ so that the following system of linear equations have infinitely many solutions :
$(2 a - 1) x + 3 y - 5 = 0$
$3 x + (b - 1) y - 2 = 0$

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 34

Find the values of

a

and

b

for which the following systems of linear equations have infinite number of solutions :

2 x - 3 y = 7

(a + b) x - (a + b - 3) y = 4 a + b

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 35

Find the values of

p

and

q

for which the following system of linear equations has infinite number of solutions:

2 x + 3 y = 9

(p + q) x + (2 p - q) y = 3 (p + q + 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

\Rightarrow a = \frac{17}{4}

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

(2 a - 1) x - 3 y = 5

3 x + (b - 2) y = 3

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 - (2 a + 5) y = 5

(2 b + 1) x - 9 y = 15

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:

(a - 1) x + 3 y = 2

6 x + (1 - 2 b) y = 6

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:

3 x + 4 y = 12

(a + b) x + 2 (a - b) y = 5 a - 1

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:

2 x - 3 y = 7

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

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 = 0

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