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Assertion: Congruent circles are concentric. Reason: Concentric circles have same centre with different radii. - Mathematics

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Question

Assertion: Congruent circles are concentric.

Reason: Concentric circles have same centre with different radii.

Options

  • Both A and R are true and R is the correct reason for A.

  • Both A and R are true but R is the incorrect reason for A.

  • A is true but R is false.

  • A is false but R is true.

MCQ
Assertion and Reasoning
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Solution

A is false but R is true.

Explanation:

Congruent circles are circles that have the same radius but do not necessarily have the same center; hence, they are not always concentric. Concentric circles, by definition, have the same center but different radii. Therefore, the assertion that congruent circles are concentric is false, but the reason that concentric circles have the same center with different radii is true.

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Chapter 14: Circles (Chord and Arc Properties) - MULTIPLE CHOICE QUESTIONS [Page 179]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 14 Circles (Chord and Arc Properties)
MULTIPLE CHOICE QUESTIONS | Q 10. | Page 179
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