Line l touches the circle with centre O at P, radius of the circle is 9 cm. d(O,R)=15 cm. Then how many locations of point R are there on line l? At what distance will each of them be from point P?

Line l touches the circle with centre O at P, radius of the circle is 9 cm. d(O,Q)=8 cm . Where does the point Q lie?

Line l touches the circle with centre O at P,radius of the circle is 9 cm.Answer the following.(i)What is d(O,P)

Radius of a circle with centre 'O' is 5 cm, OA=4 cm, OB=5.5 cm. Find the position of point A and B with respect to circle.

Radius of a circle with centre O is 4 cm. if /(OP) = 4.2 cm then state where point P will lie with respect to the circle.

In the adjoining figure,seg QR is a chord of the circle with centre O. P is the midpoint of the chord QR. If QR=24, OP=10, find radius of the circle. To find solutions of the problem , write the theorems that are useful , Using them, solve the problem.

In the adjoining figure, the radius of a circle with centre C is 6 cm. Line AB is a tangent at A. What is the distance of point C from line AB?

In the figure , O is the center of the circle. From point R, seg RM and seg RN are tangent segments touching the circle at M and N. If OR = 10cm and radius of the circle = 5 cm, then (i) What is the length of each tanget segment ? (iii) What is the measure of /_MRO ? (iii) Whatis the measure of /_ MRN ?

In the adjoining figure, the radius of a circle with centre C is 6cm, line AB is a tangent at A. Answer the following question (i) What is the measure of angle CAB ? Why? (ii) What is the distance of point C from line AB? Why? (iii) d(A,B)=6cm, find d(B,C). (iv) What is the measure of angleABC ? Why?