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 :
`sqrt119` cm test
We know that the line drawn from the centre of the circle to the tangent is perpendicular to the tangent.
∴OP ⊥ PQ
By applying Pythagoras theorem in ΔOPQ,
∴OP2 + PQ2 = OQ2
52 + PQ2 =122
PQ2 =144 − 25
PQ = `sqrt119 `
Hence, the correct answer is `sqrt119` cm test.