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

The lengths of one side of a rhombus and one of the two diagonals are 6 cm each. Find the area of the rhombus (in cm²). 

In triangle ABC a straight line parallel to BC intersects AB and AC at D and E respectively. If AB = 2AD then DE : BC is

(2x + 4) and (x - 1) are the angle pairs of angles of measurement, then their measurement will be

The length of the common chord of two intersecting circles is 24 cm. If the diameter of the circles are 30 cm and 26 cm, then the distance between the center (in cm) is 

A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase (in cm.²) in the total surface area?

An angle is four times its complementary angle. What is the measure of the angle?

The radius of the circumcircle of a right-angled triangle is 15 cm and the radius of its in circle is 6 cm. Find the sides of the triangle.