Given that (a²+b²)=60, then find the value of (a+b)²+(a–b)².

An arc of 30 ° in one circle is double an arc in a second circle, the radius of which is three times the radius of the first. Then the angles subtended by the arc of the second circle at its center is 

In triangle ABC, F is the centroid. If AB=11 cm, BC=14 cm and AC=7 cm, then what is the value (in cm) of EF?

The length of the common chord of two circles of radii 30 cm and 40 cm whose centers are 50 cm apart is (in cm) 

The difference between the interior and the exterior angles of a regular polygon is 150^o. Find the number of sides in the polygon.

If AD, BE and CF are medians of ∆ABC, then which one of the following statements is correct? 

Nohkali waterfall is in which state?

Two circles intersect at A and B, P is a point on produced BA. PT and PQ are tangents to the circles. The relation of PT and PQ is