Two tangents TP and TQ are drawn to a circle with centre O from an external point T. Prove that `/_PTQ=2/_OPQ`

Choose the correct alternative.A pair of tangents are drawn to a unit circle with centre at the origin and these tangents intersects at A enclosing an angle 60^@ .The area enclosed by these tangents and the area of the circle is

In the adjoining figure, seg AB is a diameter of a circle with centre O. the bisector of angleACB intersects the circle at point D. Prove that ,seg ADcongseg BD .

In the adjoining figure, seg RS is the diameter of the circle with centre 'O'. Point T is in the exterior of the circle. Prove that /_RTS is an acute angle.

In the given figure , if TP and TQ are the two tangents to a circle with centre O so that anglePOQ=110^@ , then anglePTQ is equal to

The lengths of the tangent segment drawn to a circle from an external point are…..a)Equal b)Unequal c)Infinite d)Can't say

Tangents are drawn from the origin to a circle with centre at (2,-1) . If the equation of one of the tangents is 3x+y=0 , the equation of the other tangent is

The number of tangents that can be drawn to a circle at a point on the circle is…..a)3 b)2 c)1 d)0

In the adjoining figure, two circles intersect each other at points A and E. Their common secant through E intersects the circle at points B and D. The tangents of the circles at point B and D intersect each other at point C. Prove that square ABCD is cyclic.

Two tangents PQ and PR drawn to the circle x^2 +y^2-2x-4y-20=0 from point P(16,7). If the centre of the circle is C, then the area of quadrilateral PQCR will be