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The shaded region… (Class 10 Maths Basic 2025, Q13)

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MathsCBSE Class 10 · Basic · Board exam 2025, set 430/2/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2025: question 13

Set in the CBSE Class 10 board exam of 2025, 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. A horizontal chord is drawn near the bottom of the circle, and the region between the chord and the lower arc is shaded. The shaded part is the smaller of the two regions formed by the chord and does not contain the centre. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2025 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

Segment = chord + arc; sector = two radii + arc.

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 shaded region is bounded by a chord and the smaller arc, and it does not contain the centre.

  2. A region between a chord and its minor arc is a minor segment, so the answer is option (C).

    1 mark

Answer: Minor segment, option (C)

Where the marks are

  • Identifies the chord–minor arc region as a 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 paper2025 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.