**Quiz Linear Equations in Two Variables (BMA’s Talent & Olympiad Exams)**

**Answer:**

Answer the question before viewing the answer below

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**4. Linear Equations in two Variables**

**~ Multiple Choice Questions**

1. (C) An infinite number of lines pass through

the given point (0, 0).

2. (C) y = 4x – 3 is a linear equation in two

variabl es. A linear equation in two

variables has infinitely many solutions. So,

y = 4x – 3 has infinitely many solutions.

3. (A) Given that, x = -2 and y = 3 is the solution

of 3x – 5y = k, we have

k = 3(- 2) – 5(3) = – 21

4. (A) 5. (D) 6. (C) 7. (D) 8. (A)

9. (C) The equation of the line passing through

the origin is y = mx.

Hence y = 5x is the required equation.

10. (A) y – 2 = 0 => y = 2

It represents a line parallel to X-axis.

11. (A) Given (3. 4) is a solution of 5x – 2y = k

=> 5(3) – 2(4) = k => k = 7

12.(D) Given (2, – 3) lies on ay = 7x – 26

=> a (- 3) = 7 (2) – 26 => a = 4

13. (C) Cost of one shirt = £ 800

Cost of x shirts = £ (800 x x)

Also £ y is the total cost.

:. y = 800 × x i.e., y = 800x

14. (C) The points of the form (p, p) V p ≠ 0

always lies on the line y = x.

e.g., (5, 5) (16, 16) etc., have their x and y

coordinates same. So, they lie on the line

y= x .

15. (D)

5 2 8

— – — = — => X= 6

3 X X

Hence. the solution set for

5 2 8

— – — = — (6)

3 X X

16. (A)

Given equation is

√(k + 64) – 8 =- 2

=> k = – 28

17. (C) 18. (C) 19. (A) 20. (C) 21. (A)

22. (C) The given equation of the line parallel to

y – axis and 5 – units away from the origin

is x = 5.

23. (D) 24. (A) 25. (A) 26. (C) 27. (D)

28. (B) Given. cost of an adult ticket = A

cost of a child ticket = S

=> A=S + 3

Vihan spent 132 to buy tickets for 20

children and 4 adults

=> 4A + 20S = 132

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