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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
Assertion is correct, and Reason is also correct.