Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

A wire of resistance 8 Omega is bent in the form of a circle. What is the effective resistance between the ends of a diameter of this circle.

A resistance of 10 ohm is bent in the form of a closed circle. What is the effective resistance between the two points at the ends of any diameter of this circle?

A wire of resistance 20Ohm is bent in the from of closed circle.What is the effective resistance between two points at the ends of any diameter of the circle?

Let P Qa n dR S be tangent at the extremities of the diameter P R of a circle of radius rdot If P Sa n dR Q intersect at a point X on the circumference of the circle, then prove that 2r=sqrt(P Q x R S) .

Prove that the perpendicular at the point of contact to the tangent to a circle passes through the centre.

Prove that the tangents from any point of a fixed circle of co-axial system to two other fixed circles of the system are in a constant ratio.

Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the base.

Prove that the circle drawn on any one of the equal sides of an isosceles triangle as diameter bisects the third side of the triangle.