Line L touches a circle with centre O at point P. If radius of the cir

1.	Line L touches a circle with centre O at point P. If radius of the circle is 9 cm,answer the following.(1) What is d(O,P)=? Why ?(2) If d(O,Q)=8 cm, where does the point Q lie ?(3) If d(PQ) = 15 cm, How many locations of point R are line on line L? At what distance will each of them be from point P ?
Answer» Answer: GIVEN ,Line L TOUCHES a circle with centre O at point P. RADIUS of the circle is 9 cm. $Radius(r) = 9 \:cm$ $1) d(O,P) = radius (r) = 9\:cm$ $2) d(O,Q) = 15 \:cm > r \\Q \:lies \: interior \:of \:circle$ $3) d(P,Q) = 15\:cm$ $Q \: lies \: interior \: of \:the \:circle$ $R \:is \: a \: point \: on \: Line \: L . There \\will \:be \: infinite \: location's \: to \: R$ $d(O,P)$ •••♪