Question

If the angle between two
tangents drawn on a circle with
reactius a and centre o from
an exterior point P M 60°,
find the length of op.​

Answer 1

Answer:

Length of OP is 2a

Step-by-step explanation:

OA=a

OP=?

ANGLE BETWEEN TANGENTS=60°

Tangents are equally aligned to each other

=> <OPA = <OPB = 30°

IN ∆OPA,

<POA = 180° - 90° - 30°

= 60°

Cos 60° = OA/OP

1/2 = a/OP

=> OP = 2a (Ans)