P is a point outside a circle and is 26 cm away from its centre. A secant PAB drawn form P intersects the circle at points A and B such that PB=32 cm and PA=18cm. The radius of the circle (in cm) is:

In an isosceles triangle, if the unequal angle is twice the sum of the equal angles, then each equal angle is

A sector area of 4%   is removed from a circular sheet of paper of diameter 50 cm, If the remaining part is used to make a conical surface , then the ratio of radius and height of the-

Each exterior angle of a regular polygon measures 9°. How many sides does the polygon have?

In a triangle, if orthocentre, circumcentre, incentre and centroid coincide, then the triangle must be

In ΔABC, D is a point on side BC such that ∠ADC = 2∠BAD. If ∠A = 80° and ∠C = 38°, then what is the measure of ∠ADB?

For an equilateral triangle, the ratio of the in-radius and the outer- radius is

If the circumradius of an equilateral triangle be 10 cm, then the measure of its in-radius is