Let `P_(1) : y^(2) = 4ax` and `P_(2) : y^(2) =-4ax` be two parabolas and L : y = x be a straight line.
The co-ordinates of the other extremity of a focal chord of the parabola `P_(2)` one of whose extermity is the point of intersection of L and `P_(2)` is

Let P_(1) : y^(2) = 4ax and P_(2) : y^(2) =-4ax be two parabolas and L : y = x be a straight line. Equation of the tangent at the point on the parabola P_(1) where the line L meets the parabola is

Let P_(1) : y^(2) = 4ax and P_(2) : y^(2) =-4ax be two parabolas and L : y = x be a straight line. if a = 4, then the equation of the ellipse having the line segment joining the foci of the parabolas P_(1) and P_(2) as the major axis and eccentricity equal to (1)/(2) is

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

If the co-ordinates of one end of a focal chord of a parabola y^(2) =4ax are (at^(2),2at) , find the co-ordinates of its other end.

The point (1,2) is one extremity of focal chord of parabola y^(2)=4x .The length of this focal chord is

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is

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