In the figure, two circles with centres O and P are touching internally at point A. If BQ = 9, DE = 5, complete the following activity to find the radii of the circles :

In the given figure,ray PQ touches the circle at point Q. PQ=12, PR=8, complete the following activity to find PS and RS.

In the figure, two circles with centers O and P intersect each other at points D and C. Line AB intersects the circle with centre O at points A and B and touches the circle with centre P at point E. Prove /_ADE+/_BCE=180^(@) .

In the adjoining figure , circles with centres C and D touch internally at point E. D lies on the inner circle. Chord EB of the other circle intersects innet circle at point A. Prove that, seg EA cong seg AB.

. In the given figure, two equal circles, with centres O and O', touch each other at X. OO' produced me the circle with centre O' at A. AC is tangent to the circle with centreO, at the point C. O'D is perpendicular to AC. Find the value of (DO')/(CO).

In the given figure, O is the centre of the circle. Name all radii of the circle.

In the figure, A is the centre of the circle. AN = 10 cm . Line MN touches the circles in point M. If MN = 6 cm then find the radius of the circle.

In the given figure two concentric circles with centre O are of radii 5 cm and 3 cm. From an external point P, tangents PA and PB are drawn to these circles. If AP =12 cm find BP.