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A variable tangent to the parabola `y^(2)=4ax` meets the parabola `y^(2)=-4ax` P and Q. The locus of the mid-point of PQ, is

A

`y^(2)=-2ax`

B

`y^(2)=-ax`

C

`y^(2)=-4/3ax`

D

`y^(2)=-4ax`

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Chapter Test
  1. The normal chord of a parabola y^2= 4ax at the point P(x1, x1) subten...

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  2. AB, AC are tangents to a parabola y^2=4ax; p1, p2, p3 are the lengths...

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  3. The circles on the focal radii of a parabola as diameter touch: A) th...

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  4. If the normals from any point to the parabola y^2=4x cut the line x=2 ...

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  5. about to only mathematics

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  6. The equation of the tangent to the parabola y^(2)=8x which is perpendi...

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  7. the tangent drawn at any point P to the parabola y^2= 4ax meets the di...

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  8. about to only mathematics

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  9. The parabola y^(2)=4ax passes through the point (2,-6). Find the lengt...

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  10. A variable circle passes through the fixed point (2, 0) and touches y-...

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  11. The locus of the middle points of the focal chords of the parabola, y^...

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  12. If the lsope of the focal chord of y^(2)=16x is 2, then the length of ...

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  13. If x-2y-a=0 is a chord of the parabola y^(2)=4ax, then its langth, is

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  14. Equation of normal to the parabola y^(2)=4x which passes through (3, 0...

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  15. Find the length of normal chord which subtends an angle of 90^0 at the...

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  16. At what point on the parabola y^2=4x the normal makes equal angle with...

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  17. The circles on focal radii of a parabola as diameter touch

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  18. Tangents are drawn at the ends of any focal chord of the parabola y^(2...

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  19. The angle between the pair of tangents drawn form (1, 3) to the parabo...

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  20. A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=...

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