(1) Given radius = 9cm. Line *l* is the tangent to the circle.

d(O,P) = 9cm

OP is the radius of circle.

(2) d(O,Q) = 8cm.

d(O,Q) is less than radius. So Q will lie inside circle.

(3) Point R can be on two locations on line *l.*

d(O,R ) = 15

InOPR, OPR = 90˚ [Tangent theorem]

OP^{2}+PR^{2} = OR^{2} [Pythagoras theorem]

9^{2}+PR^{2} = 15^{2}

PR^{2} = 15^{2}-9^{2}

PR^{2} = 225-81 = 144

PR = √144 = 12

The point R will be at 12 cm distance from P.