Let there be two parabolas `y^2=4ax` and `y^2=-4bx` `(where a!=b; a;b gt0)` . Then find the locus of the middle points of the intercepts between the parabolas made on the lines parallel to the common axis.

Let there be two parabolas y^(2)=4ax and y^(2)=-4bx (where a!=b and a>0>0). Then find the locus of the middle points of the intercepts between the parabolas made on the lines parallel to the common axis.

Let there be two prabolas y^(2)=4x and y^(2)=-8x . Then the locus of the mid - points of the intercepts between the parabolas made on the lines parallel to the common axis is

Let there be two parabolas with the same axis, focus of each being exterior to the other and the latus rectam being 4a and 4b. The locus of the middle points of the intercepts between the parabolas made on the lines parallel to the common axis is a:

Let two paraboles have a common axis where focus of each being exterior to the other and lt l_(1),l_(2) be their latus rectums then the locus of the mid points of the intercepts between the parabolas made on the lines parallel to the common axis is a

The locus of the middle points of the focal chord of the parabola y^(2)=4ax , is

The locus of the middle points of normal chords of the parabola y^(2)=4ax is-

The locus of the middle points of the focal chords of the parabola,y^(2)=4x is:

The locus of the middle points of the chords of the parabola y^(2)=4ax which pass through the focus, is