MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 21

MEDIUM

10th CBSE

IMPORTANT

Earn 100

Solve each of the following systems of equations by the method of cross-multiplication:
$a^{2} x + b^{2} y = c^{2}$
$b^{2} x + a^{2} y = d^{2}$

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 3.4>Q 22

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

a x + b y = \frac{a + b}{2}

3 x + 5 y = 4

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 23

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

2 (a x - b y) + a + 4 b = 0

2 (b x + a y) + b - 4 a = 0

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 24

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

$6 (a x + b y) = 3 a + 2 b$

$6 (b x - a y) = 3 b - 2 a$

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 25

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

\frac{a^{2}}{x} - \frac{b^{2}}{y} = 0

\frac{{(a}^{2} b)}{x} + \frac{b^{2} a}{y} = a + b,

x, y \neq 0

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 26

Solve the following system of equations by the method of cross multiplication.

m x - n y = m^{2} + n^{2}

x + y = 2 m

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 27

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

$\frac{a x}{b} - \frac{b y}{a} = a + b$

$a x - b y = 2 a b$

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.4>Q 28

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

(\frac{b}{a}) x + (\frac{a}{b}) y = a^{2} + b^{2}

x + y = 2 a b

MEDIUM

10th CBSE

IMPORTANT

MATHEMATICS CLASS X>Chapter 3 - Pair of Linear Equations in Two Variables>EXERCISE 3.5>Q 1

In each of the following systems of equations determine whether the system has a unique solution, no solution or infinitely many solutions. In case there is a unique solution, find it:

x - 3 y = 3

3 x - 9 y = 2