Question

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is
(a) 12 cm
(b) 13 cm
(c) 8.5 cm
(d) √119

Answer 1

Answer:

the answer is 13 cm please mark me as brainless

Answer 2

Answer:

Given,

Radius of the circle = 5cm

PQ = 12cm

∠OPQ = 90° [ The tangent to a circle is perpendicular to the radius through the point of contact ]

PQ² = OQ² – OP² [ By Pythagoras theorem ]

PQ² = 12 – 5² = 144 – 25 = 199

PQ = √199