Prove that the length of a focal chord of a parabola varies inversely as the square of its distance from the vertex.

Show that the temperature of a planet varies inversely as the square root of its distance from the sum.

In a rectangular hyperbola, prove that the product of the focal distances of a point on it is equal to the square of its distance from the centre of the hyperbola .

The length of a focal chord of the parabola y^(2) = 4ax at a distance b from the vertex is c. Then

Inside a hollow charged spherical conductor the potential Is constant Varies directly as the distance from the centre Varies inversely as the distance from the centre Varies inversely as the square of the distance from the centre

The length of the focal chord of the parabola y^(2)=4x at a distance of 0.4 units from the origin is

If the length of a focal chord of the parabola y^(2)=4ax at a distance b from the vertex is c then prove that b^(2)c=4a^(3).

Length of the focal chord of the parabola y^(2)=4ax at a distance p from the vertex is: