Direction: In the following question, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
Assertion: In the given figure, ∠BAO = 30° and ∠BCO = 40°, then the measure of ∠AOC = 60°.

Reason: The angle subtended by an arc of a circle at the centre of the circle is twice the angle subtended by that arc on the remaining part of the circle.

Assertion (A) is false but reason (R) is true.

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Both assertion (A) and reason (R) are true, but reason (R) is not the correct explanation of assertion (A).

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Both assertion (A) and reason (R) are true, and reason (R) is the correct explanation of assertion (A).

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Both assertion (A) and reason (R) are false.

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Solution

The correct option is A
Assertion (A) is false but reason (R) is true.

Assertion (A) is false but reason (R) is true.

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Similar questions

Assertion (A) in the given figure, O is the centre of the circle with D, E and F as mid-points of AB, BO and OA respectively. If $∠ D E F$ is $30^{\circ}$ , then $∠ A C B$ is $60^{\circ}$

Reason (R) Angle subtended by an arc at the centre is twice the angle subtended by it on the remaining part of the circle.
which of the following is true?

Assertion: The measure of $∠ A O C = 60^{\circ}$

Reason: Angle subtended by an arc of a circle at the center of the circle is double the angle subtended by the arc on the circumference.

Which of the following is correct?

Prove that the angle subtended by an arc of a circle at the centre is double the angle subtended by it at any point on the remaining part of the circle. [4 MARKS]

Q. STATEMENT - 1 : In given figure, If C is centre of the circle and

∠ P Q C = 25^{\circ}

and

∠ P R C = 15^{\circ}

, then

∠ Q C R

40^{\circ}

.
STATEMENT - 2 : Angle subtended by arc at the centre is twice angled subtended by it at circumference of the circle.

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The correct option is A Assertion (A) is false but reason (R) is true. Assertion (A) is false but reason (R) is true.

The correct option is A
Assertion (A) is false but reason (R) is true.

Assertion (A) is false but reason (R) is true.