A parabola is drawn to pass through A and B, the ends of a diameter of a given circle of radius a, and to have as directrix a tangent to a concentric circle of radius the axes of reference being AB and a perpendicular diameter, prove that the locus of the focus of parabola `x^2/a^2 + y^2/(b^2-a^2) = 1`

A parabola is drawn to pass through A and B the ends of a diameter of a given circle of radius a and to have as directrix a tangent to a concentric circle of radius b , the axes being AB and a perpendicular diameter. The locus of the focus of the parabola is a conic which is : (A) a parabola (B) an ellipse (C) a hyperbola which is not a rectangular hyperbola (D) a rectangular hyperbola

If the parabola y^(2)=ax passes through (1,2) then the equation of the directrix is

If the parabola y^(2)=ax passes through (1, 2) then the equation of the directrix is

If the parabola y^(2)=ax passes through (1, 2) then the equation of the directrix is

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=8xdot It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=8xdot It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=8xdot It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=8xdot It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

A circle is drawn to pass through the extremities of the latus rectum of the parabola y^2=20 x . It is given that this circle also touches the directrix of the parabola, Find the radius of this circle.