Find the coordinates of vartex and the l...

Find the coordinates of vartex and the length of latus rectum of the parabola whose focus is (0,0) and the directrix is the line 2 x + y =1

Verified by Experts

The correct Answer is:

`((1)/(5),(1)/(10))` and `(2)/(sqrt(5)) ` unit

Similar Questions

Explore conceptually related problems

Find the length of the latus rectum of the parabola whose focus is at (2, 3) and directrix is the line x-4y+3=0 .

The length of latus rectum of the parabola 3x^(2) =- 8y is _

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

Find the equation of the parabola whose vertex is (0,0) and directrix is the line x + 3 = 0 .

Find the coordinates of any point on the parabola whose focus is (0, 1) and directrix is x+2=0

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

The length of the latus rectum of the parabola x^2 −4x−8y+12=0 is

Find the equation of the parabola whose focus is S(-1,1) and directrix is 4x+3y-24=0 .

Find the equation of the parabola with focus (2,0) and directrix x=-2 .

The length of latus rectum of the parabola (y-1)^(2) =- 6( x+2) is_