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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

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B
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The line y=2x+k is a normal to the parabola y^(2)=4x then k=

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  2. The line y=xsqrt(2)+lambda is a normal to the parabola y^(2)=4x then l...

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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. The point of contact of 2x-y+2 =0 to the parabola y^(2)=4ax is

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  5. The point of contact of x-2y+4a=0 to the parabola y^(2)=4ax is

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  6. The line 4x+6y+9 =0 touches the parabola y^(2)=4ax at the point

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  7. The point on the curve y^(2)=x the tangent at which makes an angle of ...

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  8. The tangent to y^(2)=ax makes an angle 45^(@) with x-axis . Then its ...

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  9. The condition that the line lx+my+n=0 to touch the parabola y^(2)=4ax ...

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  10. The line y =m(x+a) + a/m touch the parabola y^(2)=4a(x+a) for m

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  11. The condition that the line y=mx+c to be a tangent to the parabola y^(...

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  12. The line among the following that touches the parabola y^(2)=4ax is

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  13. The equation of the common tangent to x^(2)+y^(2)=2a^(2)"and" y^(2)=8a...

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  14. The equation of the common tangent to x^(2)+y^(2)=8 and y^(2)=16x is

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  15. The equation of the common tangent to y^(2)=8x and x^(2)+y^(2)-12x+4=0...

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  16. The sloope of the line touching both the parabolas y^(2) =4x and x^(2)...

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  17. The points of intersection of the parabolas y^(2)=5x and x^(2)=5y lie ...

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  18. The two parabolas y^(2)=4x and x^(2)=4y intersect at a point P whose...

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  19. If the common tangent of the circle x^(2)+y^(2)=c^(2) and the parabola...

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  20. The sum of the slopes of the tangents to the parabola y^(2)=8x drawn f...

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