Question

-. In the adjoining figure, PT is a tangent to a circle where centre is O. If OP=5cm and PT= 4cm, then diameter of the circle is
(b) 4 cm
(c) 4.5 cm
(d) 6 cm
. ​

Answer 1

where is the image??????

Answer 2

Given PT=30cm

OT is the radius of a cicle

therefore OT will be half of given diameter

OT = 16cm

∠OTP = 90

∘

(tangent is perpendicular to radius at point of contact)

now apply pythoguras theorem to

OP 2 =OT 2 +TP 2OP 2 =16 2 +30 2 OP= 1156

OP=34

So answer will be option B.