Line PQ is a tangent to the circle at point AB `~=` arc AC. Complete the following activity to prove `DeltaABC` as isosceles triangle.

Line PA and line PB are tangents to the circle at points A andB. If angleAPB=60^(@) then find m(arc AXB).

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

The curve in the first quadrant for which the normal at any point (x , y) and the line joining the origin to that point form an isosceles triangle with the x-axis as base is (a) an ellipse (b) a rectangular hyperbola (c) a circle (d) None of these

In the adjoining figure line PA is a tangent to the circle at point A . Secant PQZ intersects chord AY in point X, such that AP = PX = XY. If PQ = 1 and QZ = 8 . Find AX.

A Tangent to a circle is a line which touches the circle at only one point.

In the adjoining figure circles with centres A and C touch internally at point T . Line AB is tangent to the smaller circle at point P . Point B lies on the bigger circle. Radii are 16 cm and 6 cm . Find AP.

AB is a diameter of a circle and C is any point on the circumference of the circle. Then (a) the area of DeltaABC is maximum when it is isosceles (b) the area of DeltaABC is minimum when it is isosceles (c) the perimeter of DeltaABC is minimum when it is isosceles (d) none of these

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 .

A circle with centre P . Line AB and line AC are tangents from point A at points B and C respectively . Which of the following is/ are true ?