If a line intersects two concentric circles (circles with the same centre) with centre O at A, B, C and D, prove that AB = CD

Two cocentric circle common centre O. A line 'l' intersects these circle A,B,C and D. Prove that AB = CD.

A straight line intersects thethree concentric circles at A, B, C. if the distance of line from the centre of the circles is 'P', prove that the area of the triangle formed by tangents to the circle at A, B, C is ((1)/(2P).AB.BC.CA) .

With the same centre O ,draw two circles of radii 4 cm and 2.5 cm.

In the given figure O is the centre of a circle and PO bisects angleAPD . Prove that AB = CD

Two equal chords AB and CD of a circle with centre O, intersect each other at E. Prove that AD = CB

AB and CD are respectively arcs of two concentric circles of radii 21 cm and 7 cm and centre O. If ZAOB = 30^@ , find the area of the shaded region.

(True/ False) Two congruent circles with centres O and O' intersect at two points A and B. Then /_AOB = /_AO'B .

Prove that in two concentric circles, the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact.

The adjoining figure shows two circles with the same centre. The radius of the larger circle is 10 cm and the radius of the smaller circle is 4 cm(a) the area of the larger circle (b) the area of the smaller circle (c) the shaded area between the two circles. ( pi = 3.14)

Two circles with centres O and O' intersect at P. Through P, a line 'l' parallel to a OO', meeting circles at C and D, is drawn. Prove that CD = 2OO'