A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then the locus of the focus of the parabola is :

The focus of the parabola y^2 = 20 x is

The focus of the parabola x^2 -2x +8y + 17=0 is :

Let y=x+1 is axis of parabola, y+x-4=0 is tangent of same parabola at its vertex and y=2x+3 is one of its tangents. Then find the focus of the parabola.

A parabola having directrix x +y +2 =0 touches a line 2x +y -5 = 0 at (2,1). Then the semi-latus rectum of the parabola, is

A parabola of latus rectum l touches a fixed equal parabola. The axes of two parabolas are parallel. Then find the locus of the vertex of the moving parabola.

If (3,0) is the focus and y axis is the tangent at vertex. Then the equation of the parabola is

Two tangents on a parabola are x-y=0 and x+y=0. S(2,3) is the focus of the parabola. The length of latus rectum of the parabola is

If the vertex of the parabola is (3,2) and directrix is 3x+4y-(19)/7=0 , then find the focus of the parabola.

Two mutually perpendicular tangents of the parabola y^2=4a x meet the axis at P_1a n dP_2 . If S is the focus of the parabola, then 1/(S P_1) is equal to 4/a (b) 2/1 (c) 1/a (d) 1/(4a)

The axis of the parabola x^(2)=-4y is ……. .