Question

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is
(a) 7 cm
(b) 12 cm
(c) 15 cm
(d) 24.5 cm​

Answer 1

$\huge \underline{\bf{Answer :- }}$

From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is. Hence, option A is correct.

Answer 2

Answer:

According to theorem 10.1, OP⊥ PQ then ∆OPQ is a right-angled triangle

OQ2 = PQ2 + OP2 (Pythagoras Theorem)

252 = 242 + OP2

OP2 = 252 – 242

OP2 = (25+24) (25-24) (using identity a2 – b2 = (a+b)(a-b))