the equation of the parabola whose focus...

the equation of the parabola whose focus is the point `(0,0)` and the tangent at the vertix is `x-y+1 =0` is

A

`x^(2)+y^(2)-2xy-4x+4y-4= 0`

B

`x^(2) +y^(2) -2xy+ 4x- 4y-4= 0`

C

`x^(2)+y^(2)+2xy- 4x+4y- 4= 0`

D

`x^(2) +y^(2) +2xy- 4x- 4y+4= 0`

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

Prove that the equation of the parabola whose focus is (0, 0) and tangent at the vertex is x-y+1 = 0 is x^2 + y^2 + 2xy - 4x + 4y - 4=0 .

Find the equation of the parabola whose focus is the point (0,0) and the directrix is the straight line 3x-4y+2=0

Find the equation of the parabola whose focus is (1,1) and tangent at the vertex is x+y=1

Find the equation of the parabola whose: focus is (0,0) and the directrix 2x-y-1=0

The equation of the parabola whose focus is (-3,0) and the directrix is x+5=0 is:

The equation of the parabola whose focus is (1,1) and the directrix is x+y+1=0

The equation of the parabola whose focus is (-3,0) and the directrix is, x+5=0 is:

Find the equation of the parabola whose focus is (3, 0) and vertex is (0, 0) .

Find the equation of the parabola whose: focus is (3,0) and the directrix is 3x+4y=1

Find the equation of the parabola whose focus is at (0, 0) and vertex is at the intersection of the line x+y=1 and x-y=3 .