Home
Class 12
MATHS
Find the equation of a parabola whose ve...

Find the equation of a parabola whose vertex at `(-2,3)` and the focus at `(1,3)`.

A

`11x-2y=24`

B

`11x+2y+24=0`

C

`2x-11y-24=0`

D

`2y+11x=24`

Text Solution

Verified by Experts

The correct Answer is:
D
`:'` Image of `(2,1)` in `2x-y+1=0` is
`(x-2)/2=(y-1)/(-1)=(-2(4-1+1))/(4+1)=(-8)/5`
`impliesx=2-16/5=(-6)/5`
`y=8/5+1=13/5`
`:.` Slope of directrix `=(13/5-3)/((-6)/5-1)=(-2/5)/(-11/5)=2/11`
`:.` Equation of axis,
`=y=1=(-11)/2(x-2)`
`implies2y-2=-1x+22`
`implies11x+2y=24`
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the equation of a parabola whose vertex is (-2,0) and focus is (0,0).

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

Find the equation of the parabola whose vertex is (3,-2) and focus is (3,1).

Find the equation of the parabola with vertex at (0,0) and focus at (0,3).

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 2).

Find the equation of the parabola with vertex at (0, 0) and focus at (0, 5).

Find the equation of the parabola whose vertex is (3,4) and focus is (5,4)

Find the equation of parabola if it's vertex is at (0,0) and the focus at (0,1) .

Derive the equation of the parabola with its vertex at (3,2) and its focus at (5,2) .

Find the equation of the parabola having ther vertex at (0, 1) and the focus at (0, 0) .