A tangent drawn to a circle with centre O from an external point P touches the circle at the point Q. If OQ = 9cm, PO = 15 cm., then the length of PQ is (a) 6 cm. (b) cm. (c) cm. (d) 13 cm.
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5
Answer:
Correct option is
D
119
cm
Given,
Radius OP=5cm and OQ=12cm
PQ is the tangent to the circle.
∠OPQ=90
0
So,by Pythagoras theorem we get,
PQ
2
=OQ
2
−OP
2
=>PQ
2
=12
2
−5
2
=>PQ
2
=144−25
=>PQ
2
=119
=>PQ=
119
cm
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