In a circle, O is the centre of the circle. Chords AB and CD intersect at P. If ∠AOD=32° and <COB = 26°, then the measure of ∠APD lies between:

ABCD is a rhombus whose one angle is 60°.Find the ratio of the lengths of its diagonal?

What can be the maximum number of common tangent, which can be drawn to two non-intersecting circles? 

In ΔABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80° and ∠C = 38°, then what is the measure of ∠ADB?

PAB and PCD are two secants to a circle . If PA 10 cm , AB = 12 cm and PC = 11 cm , then what is the value ( in cm ) of PD ?

In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is

A cube has sides that are 4 cm each, and the dimensions of a cuboid are 2cm x 3cm x 4cm. Find the positive difference between the volume of the cube and that of the cuboid.

The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is: