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The locus of the midpoints of the focal ...

The locus of the midpoints of the focal chords of the parabola `y^(2)=4ax` is

A

`y^(2)=2a(x+a)`

B

`y^(2)=2a(x-a)`

C

`y^(2)=a(2x+a)`

D

`y^(2)=a(2x-a)`

Text Solution

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The correct Answer is:
B
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AAKASH SERIES-PARABOLA-EXERCISE- II
  1. The midpoint of the chord 2x-y-2=0 of the parabola y^(2)=8x is

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

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

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

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

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

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

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

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

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

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

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  12. If the line y = mx + a meets the parabola x^(2)=4ay in two points whos...

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  13. Number of points of intersectionsof circle x^(2)+y^(2)+2x=0 with y^(2)...

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  14. The point on the parabola y =x^(2) + 7x + 2 which is elosest to the li...

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  15. If a circle cuts a parabola in four points then the sum of ordinates o...

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  16. In the parabola y^(2) = 4x, the length of the chord passing through th...

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  17. The length of chord Intercepted by the parabola y=x^(2)+3x on the lin...

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  18. On the parabola = y^(2)=8x. If one extrimity of focal chord is ((1)/(2...

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  19. If P(-3, 2) is one end of focal chord PQ of the parabola y^(2)+ 4x + 4...

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  20. Match the lengths of the focal chords drawn to y^(2)=8x from points ha...

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