Question

PT is tangent from point P to a circle with centre O. ifthw diameter of the circle is 10 cm PT = 12 cm then the distance of P from the centre O is __________
a) 2
b) 13
c) 17
d) 22

this is my maths question ​

Answer 1

Correct option is B) 34 cm

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 

OP2=OT2+TP2

OP2=162+302

OP=1156

OP=34

So answer will be option B.