Let x+y=k be a normal to the parabola y^...

Let x+y=k be a normal to the parabola `y^(2)=12x `. If p is the length of the perpendicular from the focus of the parabola onto this normal then 4k-2`p^(2)` =?

A

1

B

0

C

`-1`

D

2

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

If y=x+2 is normal to the parabola y^2=4a x , then find the value of adot

If y=x+2 is normal to the parabola y^2=4a x , then find the value of a .

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

If a normal to the parabola y^(2)=8x at (2, 4) is drawn then the point at which this normal meets the parabola again is

The equation to the normal to the parabola y^(2)=4x at (1,2) is

Show that length of perpendecular from focus 'S' of the parabola y^(2)= 4ax on the Tangent at P is sqrt(OS.SP)

The normal to the parabola y^(2)=4x at P (1, 2) meets the parabola again in Q, then coordinates of Q are

Length of the shortest normal chord of the parabola y^2=4ax is

The normal to parabola y^(2) =4ax from the point (5a, -2a) are

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at eh point