Circle Test - 1...

In the given figure, sides PQ, QR, RS and SP of a quadrilateral PQRS touch a circle at points A, B, C and D respectively. Find PD + BQ.

If O is the centre of the circle and the measure of arc ABC is 120°, then ∠ABC will be:

From a point Q, length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is:

In the given figure, PQ and PR are tangents from P to a circle with centre O. If ∠POR = 55°, then ∠QPR will be:

The centroid of a triangle whose angular points are (4, -3), (5, 6) and (3, -3) respectively is:

PQ is a tangent to a circle at point P. Centre of circle is O. If ΔOPQ is an isosceles triangle, then find the value of ∠QOP.

In the given figure, AB is a diameter of the circle. If AC = BC, then ∠CAB will be:

If angle between two radii OA and OB = 130°, then the angle between the tangents at the ends of the radii is-

Two circles touch each other externally at a point C and P is a point on the common tangent at C. If PA and PB are tangents to the circles, then:

A line through the center O of a circle of radius 5 cm cuts the tangent at a point P on the circle at Q such that PQ = 12 cm. Then find the length of OQ.

AB and CD be the diameters of a circle with centre O. If ∠CAB = 30°, find the value of x.

In the given figure, O is the centre of the circle and ∠OBA = 30° and ∠OCA = 20°, find ∠BOC.

In the given fig. ∠AOB = 120°. Find ∠BOˈD =

In a circle with center O, chords AB & CD intersect externally at P and PT is a tangent to the circle at T. PB = 12 cm, AB = 15 cm, DP = 6 cm, find the length of PT.

In the given figure, PS = 18cm and PQ = 12cm, then the length of QR will be: