English

Which of the following statements is not true? (a) A tangent to a circle intersects the circle exactly at one point. (b) The point common to the circle and its tangent is called the point of contact.

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Question

Which of the following statements is not true?

Options

  • A tangent to a circle intersects the circle exactly at one point.

  • The point common to the circle and its tangent is called the point of contact.

  • The tangent at any point of a circle is perpendicular to the radius of the circle through the point of contact. 

  • A straight line can meet a circle at one point only.

MCQ
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Solution

A straight line can meet a circle at one point only.

Explanation:

A straight line can intersect a circle in 0, 1 or 2 points (0 if it misses the circle, 1 if it is a tangent, 2 if it is a secant), so it is not correct to say a straight line can meet a circle at one point only.

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Chapter 8: Circles - MULTIPLE-CHOICE QUESTIONS (MCQ) [Page 507]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 8 Circles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 51. | Page 507
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