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The shaded region… (Class 10 Maths Basic 2026, Q13)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2026: question 13

Set in the CBSE Class 10 board exam of 2026, paper 430/2/1, section A, question 13, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q13 · 1 mark · MCQAreas Related to Circles

In the given figure, the shaded region represents :

  1. (A)minor sector
  2. (B)major sector
  3. (C)minor segment
  4. (D)major segment

Figure in the paper: A circle with centre O. The shaded region is the part of the disc lying below a horizontal chord near the bottom of the circle, bounded by the chord and the arc below it (the smaller side, not containing O). See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/2/1.

Hints

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

Hint 1

Is the region bounded by radii or by a chord?

Hint 2

Check whether the region contains the centre or not.

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 region is bounded by a chord and its arc, so it is a segment, not a sector (a sector is bounded by two radii).

    ½ mark

  2. The region lies on the smaller side of the chord and does not contain the centre O, so it is the minor segment. Option (C).

    ½ mark

Answer: Minor segment, option (C)

Where the marks are

  • Identifies the shaded region as the minor segment (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Areas Related to Circles, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 430/2/1 (Basic): 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.