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 :

A movable parabola touches the x and the y-axes at (1,0)a n d(0,1) . Then the locus of the focus of the parabola is 2x^2-2x+2y^2-2y+1=0 b. x^2-2x+2y^2-2y+1=0 c. 2x^2-2x+2y^2+2y+2=0 d. 2x^2-2x-2y^2-2y-2=0

The focus of the parabola x^2-8x+2y+7=0 is

The focus of the parabola y^(2)-x-2y+2=0 is

The focus of the parabola y^(2)-4y-8x-4=0 is

A parabola touches the coordinate axes at (25/3, 0) and (0, 25/4) . Focus of the parabola is

A standard parabola in the x,y coordinate plane intersects the x-axis at (5,0) and (-5,0). What is the value of the x-coordinate of this parabola's line of symmetry?

The focus of the parabola y^(2)-4y-8x+4=0 is,

The focus of the parabola x^(2)-2x-8y-23=0 is

Statement-1: Length of the common chord of the parabola y^(2)=8x and the circle x^(2)+y^(2)=9 is less than the length of the latusrectum of the parabola. Statement-2: If vertex of a parabola lies at the point (a. 0) and the directrix is x + a = 0, then the focus of the parabola is at the point (2a, 0).

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.