# Pair Of Linear Equations In Two Variables MCQ Questions for Class 10 Math’s Chapter 3 with Answers

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## Q1. If am¹ bl, then the system of equationsax + by = c, lx + my = n

(A) has a unique solution
(B) has no solution
(C) has infinitely many solutions
(D) may or may not have a solution

## Q2. The pair of equations 3x – 5y = 7 and – 6x + 10y = 7 have

(A) a unique solution
(B) infinitely many solutions
(C) no solution
(D) two solutions

(A) 120, 130
(B) 140,280
(C) 240,280
(D) 100,120

## Q4. If a pair of linear equations is consistent, then the lines are:

(A) Parallel
(B) Always coincident
(C) Always intersecting
(D) Intersecting or coincident

## Q5. The angles of cyclic quadrilaterals ABCD are: A = (6x+10), B=(5x)°, C = (x+y)° and D=(3y-10)°. The value of x and y is:

(A)x=20° and y = 10°
(B)x=20° and y = 30°
(C)x=44° and y=15°
(D)x=15° and y=15°

(A) 2
(B) No solution
(C) 1
(D) Infinite

(A) 6
(B) 0
(C) 2
(D) 5

## Q8. The pair of equations y = a and y = b graphically represents lines which are

(A) intersecting at (a, b)
(B) intersecting at (b, a)
(C) parallel
(D) coincident

## Q9. The pair of linear equations 2x + 5y = 3 and 6x + 15y = 12 represent :

(A) intersecting lines
(B) parallel lines
(C) coincident lines
(D) none of these

## Q10. Graphically, the pair of equations 6x – 3y + 10 = 0 and 2x – y + 9 = 0 represents two lines which are:

(A) intersecting at exactly one point
(B) intersecting at exactly two points
(C) coincident
(D) parallel

(A) 53
(B) 35
(C) 62
(D) 26

## Q12. The pair of equations x = 0 and x = 5 has

(A) no solution
(B) unique/one solution
(C) two solutions
(D) infinitely many solutions

## Q13. Which of the following pair of linear equations is inconsistent?​

(A) 2x + 3y = 7; 4x + 6y = 5
(B) x – 2y = 6; 2x + 3y = 4
(C) 9x – 8y = 17; 18x -16y = 34
(D) 5x – 3y =11; 7x + 2y =13

(A)4/15
(B)15/4
(C)⅘
(D)5/4

(A)⅕ and -2
(B)⅓ and ½
(C)3 and ½
(D)2 and ⅓

(A) (3, 3)
(B) (5, -3)
(C) (4, 0)
(D) (2, 4)

## Q17. If am bl then the system of equations ax + by = c, lx + my = n, has

(A) a unique solution
(B) no solution
(C) infinitely many solutions
(D) none of these

(A) 0
(B) 1
(C) 2
(D) infinite

## Q19. Which of the following pairs of equations represent inconsistent system ?

(A) 3x – 2y = 8, 2x + 3y = 1
(B) 3x – y = –8, 3x – y = 24
(C) 5x – y = 3, x + 3y = 4
(D) 5x – y = 10, 10x – 2y = 20

## Q20. Solution of the system : 11x + 9y = 31, 9x + 11y = 29 is :

(A) x = –2, y = –1
(B) x = –2, y = 1
(C) x = 2, y = 1
(D) x = 2, y = –1

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