Question

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

Options

• Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

• Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (А).

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

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

Answer 1

Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A).

Explanation:

`OQ = sqrt(OP^2 + PQ^2)`

= `sqrt(122 + 162)`

= 20 cm

∴ A is true. Also, R is true and is a correct explanation of A.