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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

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PARABOLA-EXERCISE- II
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  2. If the common tangent to circle x^(2)+y^(2)= c^(2) and the parabola y^...

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  3. Let x+y=k be a normal to the parabola y^(2)=12x . If p is the length o...

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  4. Equation of line touching both parabolas y^(2)=4x and x^(2) = -32y is

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  5. The points of contact of the tangents drawn from the point (4, 6) to t...

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  6. The locus of point of intersection of tangents to y^(2) = 4ax which in...

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  7. If a,b,c form a GP with common ratio r, the sum of the ordinates of th...

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  8. The locus of foot of perpendicular from the focus upon any tangent to ...

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  9. The locus of point of intersection of tangents drawn at the ends of ch...

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  10. The midpoint of the chord 2x-y-2=0 of the parabola y^(2)=8x is

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  11. Let O be the origin and A be a point on the cune y^(2)=4x then locus o...

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  12. The locus of the midpoints of the focal chords of the parabola y^(2)=4...

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  13. If PSP^(1) is a focal chord of a parabola y^(2)=4ax and SL is its semi...

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  14. The area of triangle formed by tangent and normal at (8, 8) on the par...

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  15. The area of triangle formed by tangents and the chord of contact from ...

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  16. The area of the triangle inseribed in the parabola y^(2)=4x the ordina...

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  17. L = (1, 3), L^(1) (1, -1) are the ends of latus rectum of a parabola. ...

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  18. L = (2, 4) and L^(1) (2, -4) are ends of latus- rectum and P is any po...

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  19. L (1, 3) and L^(1) = (1, -1) are the ends of latus rectum of a parabol...

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  20. The point on y^(2) = 4ax nearest to the focus has its abscissa equal t...

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