Q. 53 5.0( 1 Vote )

Assertion - and - Reason Type

Each 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.

Answer :


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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