Question

Two concentric circles with centre o and radius 5 cm and 3 cm from an external point p two tangents pa and pb are drawn to the circle respectively if be equal to 12 cm then find length of pb

Answer 1

InΔOAP is a right angle at A then OP2 = OA2 + AP2

OA = 5 cm, OB = 3 cm and AP = 12 cm

OP2 = 52 + 122 = 25 + 144 = 169

OP = 13 cm

In ΔOBP is a right angle at A then OP2 = OB2 + BP2

169 = 9 + BP2

BP2= 160

BP = 4√10 cm.

∴ length of BP = 4√10 cm.

Answer 2

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