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Which of the following… (Class 10 Maths SQP 2024-25, Q3)

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MathsCBSE Class 10 · Standard · Sample paper, session 2024-25 · 1 mark · MCQ

CBSE Class 10 Mathematics Standard sample paper 2024-25: question 3

From the official CBSE sample question paper for 2024-25, section A, question 3, for 1 mark. Try it first; the hints and our step-by-step solution are below.

Q3 · 1 mark · MCQCircles

Which of the following statements is not true?

  1. (A)A number of secants can be drawn at any point on the circle.
  2. (B)Only one tangent can be drawn at any point on a circle.
  3. (C)A chord is a line segment joining two points on the circle
  4. (D)From a point inside a circle only two tangents can be drawn.

Source: official sample paper from cbseacademic.nic.in (PDF). See it in the full Sample paper 2024-25.

Hints

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

Hint 1

Think about how many tangents can be drawn from a point inside, on, and outside a circle.

Hint 2

Can any line through an interior point touch the circle at only one point?

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. Statements (A), (B) and (C) are standard facts about circles, so they are true.

  2. From a point inside a circle, no tangent can be drawn, because every line through an interior point cuts the circle at two points. So statement (D) is not true. The answer is option (D).

    1 mark

Answer: Option (D)

Where the marks are

  • Identifies that no tangent can be drawn from a point inside a circle, so (D) is false (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 paperSample paper 2024-25 (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.