Read the following statements and choose the correct option:

Assertion: The angle subtend by a chord of a circle at its centre is unequal to the angle subtended by the corresponding arc at the centre.
Reason : Equal arcs of a circle subtend equal angles at the centre.

Assertion is false but reason is true.

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Both assertion and reason are true, and reason is the correct explanation of assertion.

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Assertion is true but reason is false.

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Both assertion and reason are true, but reason is not the correct explanation of assertion.

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Solution

The correct option is A
Assertion is false but reason is true.

Option $D$ is the correct answer.

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Similar questions

Q. In the given figure, AB and CD are two chords of a circle, intersecting each other at a point E.
Prove that ∠AEC =

\frac{1}{2}

(angle subtended by arc CXA at the centre + angle subtended by arc DYB at the centre).

Q. Angle subtended by any chord of a circle at the centre of a circle is ___ the angle subtended at the major arc by the same chord.

Q. Equal arcs of a circle subtend equal angles at the centre.

O is the centre of the circle. AB is a chord of the circle. Angle subtended by the chord at the center and the angle subtended by minor arc AB are equal. Is it true or false?

Q. Two arcs APB and CQD of a circle are in the ratio 15 :7. The angle subtended by arc CQD at the centre is

105^{o}

. Find the angle subtended by arc APB at the centre of the circle ?

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Read the following statements and choose the correct option: Assertion: The angle subtend by a chord of a circle at its centre is unequal to the angle subtended by the corresponding arc at the centre. Reason : Equal arcs of a circle subtend equal angles at the centre.

The correct option is A Assertion is false but reason is true. Option D is the correct answer.

Read the following statements and choose the correct option:

Assertion: The angle subtend by a chord of a circle at its centre is unequal to the angle subtended by the corresponding arc at the centre.
Reason : Equal arcs of a circle subtend equal angles at the centre.

The correct option is A
Assertion is false but reason is true.

Option $D$ is the correct answer.