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The mid-point of the line… (Class 10 Maths 2026, Q8)

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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 8

Set in the CBSE Class 10 board exam of 2026, paper 30/1/1, section A, question 8, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q8 · 1 mark · MCQCoordinate Geometry

The mid-point of the line segment joining the points and lies on :

  1. (A)-axis
  2. (B)-axis
  3. (C)origin
  4. (D)neither -axis nor -axis

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

Use the mid-point formula.

Hint 2

Which coordinate is zero for a point on the x-axis?

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. Mid-point .

  2. Its -coordinate is 0 (and its -coordinate is not 0), so the point lies on the -axis. Option (a).

    1 mark

Answer: -axis, option (a)

Where the marks are

  • Gets mid-point (11/2, 0) and concludes it lies on the x-axis (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Coordinate Geometry, 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.