Assertion(A) At a point `P` of a circle with centre `O` and radius `12cm`, a tangent `PQ` of length `16cm` is drawn. Then, `OQ=20cm`.
Reason (R ) The tangent at any point of a circle is perpendicular to the radius through the point of contact.

Options

A. Both Assertion (A) and Reason (R ) are true and Reason (R ) is a correct explanation of Asseration (A).
B. Both Assertion (A) and Reason (R ) are true but Reason (R ) is not a correct explanation of Asseration (A).
C. Assertion(A) is true and Reason (R ) is false.
D. Assertion(A) is false and Reason (R ) is true.

Answer

A

Explanation

`OQ=sqrt(OP^(2)+PQ^(2))=sqrt(12^(2)+16^(2))=20cm`.
`:.A` is true. Also, `R` is true and is a correct explantion of `A`.
Hence, the correct answer is `(a)`.