In the adjoining figure, seg EF is the diameter of the circle with centre H . Line DF is tangent at point F . If r is the radius of the circle, then prove that `DExxGE=4r^(2)`
To Prove : `DExxGE=4r^(2)`

In the adjoining figure point A is the centre of the circle . AN = 10 cm . Line NM is tangent at M . MN = 5 cm . Find the radius .

In the adjoining figure seg RS is the dianeter of the circle with centre 'O' . Point T is in the exterior of the circle . Prove that angleRTS is an acute angle.

In the adjoining figure, seg AB is a diameter of a circle with centre C . Line PQ is a tangent, it touhces the circle at T. segs AP and BQ are perpendiculars to line PQ. Prove seg CP ~= seg CQ .

Find the equation of the circle with centre at (0,0) and radius r .

In the adjoining figure, point P is the centre of the circle and line AB is the tangent to the circle at T . The radius of the circle is 6 cm . Find PB if angleTPB=60^(@)

In the adjoining figure point O is the centre of the circle . Line PB is a tangent and line PAC is a secnt. Find Paxx PC if OP = 25 and radius is 7 .

In the adoining figure, A is the centre of the circle. Poin D is in the exterior of the circle. Line DP and Line DQ are tangents at points at P and Q respectively. Prove that DP=DQ.

In the adjoining figure, seg MN is a chord of a circle with centre O . l(MN) = 25 . Point L on chord MN such that l(MN)=9 and l(OL)= 5, then find radius of the circle.

In the adjoining figure, seg AB is a chord of a circle with centre P. If PA=8cm and distance of the chord of from the centre P is 4cm. Find the area of the shaded portion.

In the adjoining figure,seg AB is a diameter of a circle with centre O . Bisector of inscribed angleACB intersects circle at point D. Complete the following proof by filling in the blanks. Prove that : seg AD ~= seg BD