The locus of the point (x,y) whose distance from the line y=2x+2 is equal to the distance from (2,0), is a parabola with the length of latus rectum same as that of the parabola y=Kx2, then the value of K is equal toView Question

If 2x + y + k = 0 is a normal to the parabola y2 = –16x, then find the value of k.

The locus of the mid-point of the focal distance of a variable point moving on the parabola, y2  =  4ax   is a parabola whos

Let PQ be a double ordinate of the parabola, y2 = – 4x, where P lies in the second quadrant. If R divides PQ in the ratio 2 : 1, then the locus of R is :

The sum of squares of all possible values of k, for which area of the region bounded by the parabolas 2y2=kx and ky2=2(y−x) is maximum, is equal to :

The equation y2+3=2(2x+y) represents a parabola with the vertex at