Question

The radius of the circle is 5 cm. Distance of point P from the centre is 11 cm. Find the maximum number of tangents that can be drawn to a circle through point P. (A) 2 (B) 1 (C) One and only one (D) Zero​

Answer 1

Answer:

we can draw only 1 tangent

Answer 2

Answer:

Let O be the centre of the given circle and let P be a point such that OP = 10 cm.

Let PT be the tangent such that PT = 8 cm.

Join OT.

Now, PT is a tangent at T and OT is the radius through T.

Therefore, OT⊥PT.

Using pythagoras theorem in △OTP, we have,

OP 2 =OT 2 +PT 2

OT 2 =100−64=36

OT=6 cm

Therefore, the radius of the circle is 6 cm.