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

The ratio between the number of sides of two regular polygons is 1 : 2 and the ratio between there interior angles is 2 : 3. The number of sides of these polygons is respectively 

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

G is the centroid of a triangle ABC, and the median is AD, the ratio of AD and GA is

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 ?

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.

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:

Which cities were India's first steel project-