Skip to content

In two concentric circles… (Class 10 Maths Basic 2025, Q9)

questionbuddy.in/q/cbse-10-maths-2025-430-2-1-q9-concentric-circles-tangent-smaller-circle

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

CBSE Class 10 Mathematics Basic 2025: question 9

Set in the CBSE Class 10 board exam of 2025, paper 430/2/1, section A, question 9, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q9 · 1 mark · MCQCircles

In two concentric circles, a tangent to the smaller circle will intersect the larger circle at :

  1. (A)zero point
  2. (B)one point
  3. (C)two points
  4. (D)three points

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

Draw the two circles and the tangent line.

Hint 2

Is the point of contact inside or outside the bigger 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 to the smaller circle passes through points inside the larger circle, so it is a secant of the larger circle.

  2. A secant cuts a circle at two points, so the answer is option (C).

    1 mark

Answer: Two points, option (C)

Where the marks are

  • Recognises the tangent is a chord/secant of the larger circle (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 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.