Question

Assertion (A): If PA and PB are tangents drawn to a circle with centre O from an external point P, then the quadrilateral OAPB is a cyclic quadrilateral.

Reason (R): In a cyclic quadrilateral, opposite angles are equal.

Options

• Both, Assertion (A) and Reason (R) are true. Reason (R) explains Assertion (A) completely.

• Both, Assertion (A) and Reason (R) are true. Reason (R) does not explain Assertion (A).

• Assertion (A) is true but Reason (R) is false.

• Assertion (A) is false but Reason (R) is true.

Answer 1

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

Explanation:

In the given figure, OAPB is a cyclic quadrilateral with PA and PB as tangents drawn from an external point P.

Also, ∠AOB + ∠APB = 180°

As the sum of opposite angles of a cyclic quadrilateral is 180°

So, Assertion is true but reason is false.