MCQ Questions for Class 10 Maths Chapter 3 Pair of Linear Equations in Two Variables

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MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 1: 

Customers are asked to stand in the lines. If one customer is extra in a line, then there would be two less lines. If one customer is less in line, there would be three more lines. Find the number of students in the class.

Option A : 40

Option B : 50

Option C : 60

Option D : 70

MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 2: 

A pair of linear equations a₁x + b₁y + c₁ = 0; a₂x + b₂y + c₂ = 0 is said to be inconsistent, if

Option A : a₁/a₂ ≠ b₁/b₂

Option B : a₁/a₂ = b₁/b₂ ≠ c₁/c₂

Option C : a₁/a₂ = b₁/b₂ = c₁/c₂

Option D : a₁/a₂ ≠ c₁/c₂

MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 3: 

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

Option A : Intersecting at exactly one point

Option B : Intersecting at exactly two points.

Option C : Coincident

Option D : Parallel

MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 4: 

Graphically, the pair of equations 7x – y = 5; 21x – 3y = 10 represents two lines which are

Option A : intersecting at one point

Option B : parallel

Option C : intersecting at two points

Option D : coincident

MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 5: 

The pairs of equations x+2y-5 = 0 and -4x-8y+20=0 have:

Option A : Unique solution

Option B : Exactly two solutions

Option C : Infinitely many solutions

Option D : No solution

MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 6: 

If a pair of linear equations is consistent, then the lines will be

Option A : always coincident

Option B : parallel

Option C : always intersecting

Option D : Intersecting or coincident

MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 7: 

The pair of equations x = 0 and x = 5 has

Option A : no solution

Option B : unique/one solution

Option C : two solutions

Option D : infinitely many solutions

MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 8: 

The pair of equation x = – 4 and y = – 5 graphically represents lines which are

Option A : intersecting at (- 5, – 4)

Option B : intersecting at (- 4, – 5)

Option C : intersecting at (5, 4)

Option D : intersecting at (4, 5)

MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 9: 

The pair of equations 6x – 10y = 7 and – 6x + 10y = 9 have

Option A : a unique solution

Option B : infinitely many solutions

Option C : no solution

Option D : two solution

MCQ Questions for Class 10 Maths Linear Equations in Two Variables Question No 10: 

Assertion : Homogenous system of linear equations is always consistent.

Reason : x = 0 and y = 0 is always a solution of homogenous system of linear equation with unknown x and y.

Which of the following statement is true?

Option A : Assertion is true and Reason is correct explanation of Assertion.

Option B : Assertion is false and Reason is NOT correct explanation of Assertion.

Option C : Assertion is true and Reason is false.

Option D : Assertion is false and Reason is true.