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If a pair of linear equations in… (Class 10 Maths 2026, Q5)

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MathsCBSE Class 10 · Standard · Board exam 2026, set 30/1/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2026: question 5

Set in the CBSE Class 10 board exam of 2026, paper 30/1/1, section A, question 5, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q5 · 1 mark · MCQPair of Linear Equations in Two Variables

If a pair of linear equations in two variables is represented by two coincident lines, then the pair of equations has :

  1. (A)a unique solution
  2. (B)two solutions
  3. (C)no solution
  4. (D)an infinite number of solutions

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 30/1/1.

Hints

Open one hint at a time and try again before the next.

Hint 1

A solution is a point that lies on both lines.

Hint 2

How many points do two overlapping lines share?

Step-by-step solution

Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.

  1. Coincident lines lie on top of each other, so every point of one line is also on the other.

  2. Every common point is a solution, so the pair has infinitely many solutions. Option (d).

    1 mark

Answer: an infinite number of solutions, option (d)

Where the marks are

  • Selects option (d) (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Pair of Linear Equations in Two Variables, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 30/1/1 (Standard): every question, by section.

The question is transcribed from the official paper; figures are described in words. The solution, hints and chapter tag are ours. Spotted an error? Write tosupport@questionbuddy.in.