Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Linear Equations in Two Variables

Short Answer Type

21. Check which of the following are solutions of the equation x – 2y = 4 and which are not:
(2, 0)

119 Views

22. Check which of the following are solutions of the equation x – 2y = 4 and which are not:
(4, 0)

123 Views

23. Check which of the following are solutions of the equation x – 2y = 4 and which are not:

open parentheses square root of 2 comma space 4 square root of 2 close parentheses

97 Views

24. Check which of the following are solutions of the equation x – 2y = 4 and which are not:

(1, 1)

121 Views

25. Find the value of k, if x = 2, y = 1 is a solution of the equation 2x + 3y = k.

130 Views

26.

Find at least 3 solutions for the following linear equation in two variables:

2x + 5y = 13

409 Views

27.

Find solutions of the form x = a, y = 0 and x = 0, y = b for the following pairs of equations. Do they have any common such solution?

3x + 2y = 6 and 5x + 2y = 10

503 Views

28. Express x = 3y in the form ax + by + c = 0 and indicate the values of a, b and c. Write two solutions of the equation.

x = 3y
$rightwards double arrow$ x - 3y = 0
$rightwards double arrow$ 1(x) + (- 3)y + (0) = 0
Comparing with ax + by + c = 0, we get
a = 1
b = -3
c = 0
Now, x = 3y

$rightwards double arrow$ $straight y space equals space straight x over 3$

Put x = 0, then y = $0 over 3 equals 0$

Put x = 3, then y = $3 over 3 equals space 1$
Hence, (0,0) and (3,1) are the two solutions of the equation x = 3y.