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From which point can the… (Class 10 Maths Basic 2026, Q11)

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MathsCBSE Class 10 · Basic · Board exam 2026, set 430/3/1 · 1 mark · MCQ

CBSE Class 10 Mathematics Basic 2026: question 11

Set in the CBSE Class 10 board exam of 2026, paper 430/3/1, section A, question 11, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q11 · 1 mark · MCQCircles

In the given figure, from which point can the tangent not be drawn to the circle with radius r?

  1. (A)X
  2. (B)P
  3. (C)Q
  4. (D)Y

Figure in the paper: Two concentric circles with common centre; inner circle radius r and outer circle radius R. Point X lies outside the outer circle, point P lies on the outer circle, point Q lies between the two circles, and point Y lies inside the inner circle. See it in the official paper.

Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 430/3/1.

Hints

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

Hint 1

Consider only the inner circle of radius r.

Hint 2

Which point lies inside that circle?

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. A tangent can be drawn to a circle only from a point that lies on the circle or outside it.

  2. X, P and Q all lie outside the inner circle of radius r. Y lies inside it, so no tangent to that circle can be drawn from Y. The answer is option (D).

    1 mark

Answer: Y, option (D)

Where the marks are

  • Identifies that a point inside the circle has no tangent, so the answer is Y (1 mark)

Revise the chapter

Practise this chapterBoard-style questions from Circles, one at a time, marked against the answer key and marking points.Back to the full paper2026 board paper, set 430/3/1 (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.