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.

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

Prove that the least focal chord of a parabola is its latus rectum .

Prove that the least focal chord of a parabola is the latus rectum .

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

Prove that the normal at the extermities of a focal chord of a parabola intersect at right angles.

Suppose that electric potential due to a small charge configuration varies inversely with with square of distance from the charge distribution . Electric field intensity will vary inversely with what power of distance from the charge configuration in this case ?

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