Pair of Linear Equations in Two Variables — sample questions with answers.

4494 verified pair of linear equations in two variables questions sit in the bank for this chapter alone. Here are 4 of them, worked; a free account gets a full, board-pattern paper across whichever chapters you pick.

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1 mark Assertion–Reason

Assertion (A): The pair

and

has no solution.
Reason (R): A pair of linear equations has no solution when

(A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).	(B) Both Assertion (A) and Reason (R) are true but Reason (R) is not the correct explanation of Assertion (A).
(C) Assertion (A) is true but Reason (R) is false.	(D) Assertion (A) is false but Reason (R) is true.

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(A)

2 marks Short answer

Solve the pair of linear equations

and

, and verify your answer by substituting it back into both equations.

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3 marks Short answer

A student claims that the pair of equations

and

has infinitely many solutions when

. Is the student right? Justify your answer.

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No;

must be

5 marks Long answer

A boat goes

km downstream in

hours and

km upstream in

hours. Find the speed of the boat in still water and the speed of the stream.

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Boat

km/h, stream

km/h

This is a slice of one chapter. The full bank covers every chapter of CBSE Class 10 Mathematics, board-pattern, with a fresh answer key every time.

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