Q. 3 4.6( 136 Votes )

A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that OQ = 12 cm. Length PQ is :

A. 12 cm B. 13 cm

C. 8.5 cm D. 119 cm.

Answer :


We know that the line drawn from the centre of the circle to the tangent is perpendicular to the tangent.


By applying Pythagoras theorem in ΔOPQ,

OP2 + PQ2 = OQ2

52 + PQ2 =122

PQ2 =144 - 25

PQ = cm.

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