In a circle, PQ is diameter, RS is chord of length equal to radius of circle. PR and QS when produced intersect at point T. Find the ∠PTQ?

The Median of an isosceles triangle ΔABC is AD and ∠A = 110 °, AB = AC, find the value of ∠ADB.

If ABC is an equilateral triangle and P, Q, R respectively denote the middle points of AB, BC, CA, then 

Two equal circles of radius 4 cm intersect each other such that each passes through the center of the other. The length of the common chord is

In a polygon, the sum of the interior angles is double the sum of the exterior angles. What is the number of sides of the polygon?

If the ratio of the measurements of the three angles of a triangle is 2: 3: 4, then the measurement of its largest angle is.

The sum of all interior angles of a regular polygon is twice the sum of all its exterior angles.  The number of sides of the polygon is

 If $$ {x=7-4\sqrt{3}}$$ find the value of $$ {\sqrt{x}+{1\over {\sqrt{x}}}}$$.