In the given figure, TP and TQ are tangent. If ∠ PAQ=50° then find the value of ∠ PTQ.

The midpoints of AB and AC of a triangle ABC are X and Y respectively. If BC + XY = 12 units, then BC – XY is:

In the given figure, ABCD is a square inscribed in a circle of radius 4 cm. CD is produced till point E. From E a tangent is drawn to the circle at point B.  What is the length (in cm) of AE?

If ∆ABC is an isosceles triangle with ∠C = 90° and AC = 5 cm then AB is : 

If the angles of a triangle are in the ratio of 2:3:7, then find the ratio of the greatest angle to the smallest angle.

D, E, F are the mid - points of the sides BC, CA and AB respectively of a ΔABC. Then the ratio of the areas of DEF and ΔABC is D, E, F.

Diagonals of a Trapezium ABCD with AB‖CD intersect each other at the point O. If AB=2CD, then the ratio of the areas of ΔAOB and ΔCOD is

If two complementary angles are in the ratio of 2:3. find the ratio of square of smaller angle to square of greater?