Circles Mock Tests

The equation of the circle passing through (1, 0), (0, 1), and having minimum radius is

In a circle, equal chords subtend ___ angles at the centre.

A tangent at a point P of a circle of radius 6 cm meets a line through the centre O at a point Q so that OQ = 10 cm. The length of PQ is:

A triangle ABC is inscribed in a circle. The angles of the triangle are in the ratio 2 : 3 : 4. What is the measure of the angle subtended by side BC at the centre of the circle?

In a cyclic quadrilateral ABCD, if ∠A = 100°, then ∠C is:

In a cyclic quadrilateral ABCD, if angle A = 100°, then angle C equals:

A tangent at point P on a circle with centre O intersects a secant through O at point Q. If OP = 7 cm and OQ = 25 cm, then PQ is:

From a point P, two tangents PA and PB are drawn to a circle with centre O. If ∠APB = 80°, then ∠POA is: