Q. 535.0( 1 Vote )

# Assertion - and - Reason TypeEach question consists of two statements, namely, Assertion (A) and Reason (R). For selecting the correct answer, use the following code: A. Both Assertion (A) and Reason (R) are true and Reason (R) is a correct explanation of Assertion (A)B. Both Assertion (A) and Reason (R) are true but Reason (R) is not a correct explanation of Assertion (A).C. Assertion (A) is true and Reason (R) is false.D. Assertion (A) is false and Reason (R) is true. Let us consider a circle with center O and radius 12 cm

A tangent PQ is drawn at point P such that PQ = 16 cm

To Find : Length of OQ

Now, OP PQ [Tangent at any point on the circle is perpendicular to the radius through point of contact]

In right - angled POQ,

By Pythagoras Theorem

[i.e. (hypotenuse)2 = (perpendicular)2 + (base)2 ]

(OQ)2 = (OP)2 + (PQ)2

(OQ2 = (12)2 + (16)2

625 = 144 + 256

(OQ)2 = 400

OQ = 20 cm

So,

Assertion is correct, and Reason is also correct.

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