RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 12. Circles

Subject: Maths - Class 10th

Q. No. 53 of Multiple Choice Questions (MCQ)

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53

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:



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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