Question

the pair of tangents TP and tq are drawn from an external point to a circle with Centre O are perpendicular to each other and length of its tangent is 5 cm radius of circle 10.5 cm and 5 cm 2.5 CM​

Answer 1

Answer:

Correct option is

D

4 cm

Join OA.

Triangles OPA and OQA are congruent.

⇒∠PAO=∠QAO=45

o

Tangent and radius are perpendicular at the point of contact.

∠OPA=90

o

⇒∠OAP=∠AOP=45

o

⇒OP=AP=4cm

So the radius of the circle is 4 cm.

So option D is the right answer.