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The line represented by the… (Class 10 Maths 2025, Q14)

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MathsCBSE Class 10 · Standard · Board exam 2025, set 30/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard 2025: question 14

Set in the CBSE Class 10 board exam of 2025, paper 30/2/1, section A, question 14, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q14 · 1 mark · MCQPair of Linear Equations in Two Variables

The line represented by the equation is :

  1. (A)parallel to x-axis
  2. (B)parallel to y-axis
  3. (C)passing through the origin
  4. (D)passing through the point

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 board paper, set 30/2/1.

Hints

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

Hint 1

Substitute into the equation.

Hint 2

Rewrite the equation as .

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. The line is . The point satisfies , so the line passes through the origin.

    ½ mark

  2. It is neither horizontal nor vertical, and gives . So the answer is option (C).

    ½ mark

Answer: Passing through the origin, option (C)

Where the marks are

  • Checks that satisfies the equation and picks option (C) (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 paper2025 board paper, set 30/2/1 (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.