Home
Class 12
MATHS
Find the equatio of the parabola whose ...

Find the equatio of the parabola whose focus is at the origin and the equation of directrix is x + y = 1 .

Text Solution

Verified by Experts

The correct Answer is:
`x^(2) + y^(2) - 2xy + 2x + 2y = 1 `
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of the parabola whose focus is at the origin and the equation of the directrix is x+y=1

Find the equation of the parabola whose vertexi is the point (1,-2) and the eqation of directrix is y + 5 = 0 .

Find the equation of the parabola whose co-ordinate of vertex is (-2, 3) and the equation of directrix is 2x + 3y + 8 = 0.

Find the equation of the parabola whose vertex is at the origin and directrix is the line y - 4 = 0 .

Find the equation of the parabola whose focus is (3, 4) and whose directrix is 3x + 4y + 25 = 0 . Also find the length of latus rectum of he parabola .

Find the equation of the parabola whose coordinates of vertex are (-2,3) and the equation of the directrix is 2x+3y + 8 = 0

Find the equation of the hyperbola whose eccentricity is 3, focus is (-1,1) and equation of directrix is x - y + 3 = 0.

Find the equations of the parabola whose focus is (5,3) and vertex is (5,7) . Find also the equation of its directrix .

Find the equation of the parabola whose vertex is the point (-2,3) and directrix is the line x + 7 = 0

Find the equation of the parabola whose focus is (2,1) and whose directrix is 3x - y + 1 = 0 .