MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.3>Q 49

MEDIUM

10th CBSE

IMPORTANT

Earn 100

If $(x + 1)$ is a factor of $2 x^{3} + a x^{2} + 2 b x + 1$ , then find the values of $a$ and $b$ , given that $2 a - 3 b = 4$ .

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 3.3>Q 50

Find the solution of the pair of equations

\frac{x}{10} + \frac{y}{5} - 1 = 0

and

\frac{x}{8} + \frac{y}{6} = 15

. Find

λ

, if

y = λ x + 5

.

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.3>Q 51

Find the values of $x$ and $y$ in the following rectangle.
Question Image

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.3>Q 52

Write an equation of a line passing through the point representing solution of the pair of linear equations

x + y = 2

and

2 x - y = 1

. How many such lines can we find?

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.3>Q 53

Write a pair of linear equations which has the unique solution

x = - 1, y = 3

. How many such pairs can you write?

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 1

Solve each of the following systems of equations by the method of cross-multiplication:

x + 2 y + 1 = 0

2 x - 3 y - 12 = 0

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 2

Solve the following system of equations by the method of cross-multiplication:

3 x + 2 y + 25 = 0

2 x + y + 10 = 0

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 3

Solve each of the following systems of equations by the method of cross-multiplication:

2 x + y = 35

3 x + 4 y = 65

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 4

Solve each of the following systems of equations by the method of cross-multiplication:

2 x - y = 6

x - y = 2