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Let O be the origin and A be a point on ...

Let O be the origin and A be a point on the curve `y^(2)=4x`. Then the locus of the midpoint of OA is

A

`x^(2)=4y`

B

`x^(2)=2y`

C

`y^(2)=16x`

D

`y^(2)=2x`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1B
  1. If the tangent at the point P (2,4) to the parabola y^(2)=8x meets the...

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

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  3. Let O be the origin and A be a point on the curve y^(2)=4x. Then the l...

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

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  5. The locus of the midpoints of the focal chords of the parabola y^(2)=6...

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  6. The locus of middle points of normal chords of the parabola y^(2) = 4...

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  7. The point of intersection of the tangents of the parabola y^(2)=16x at...

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

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

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  10. A tangent to the parabola y^(2)+4bx =0 meets the parabola y^(2)=4ax i...

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  11. The locus of midpoints of chords of the parabola y^(2)=4ax which touc...

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  12. The locus of the midpoints of the chords of the parabola y^(2) =6x whi...

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  13. The locus of midpoints of chords of the parabola y^(2)=4ax which are ...

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  14. The tangent at 't' on the parabola y^(2) =4ax is parallel to a normal ...

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  15. An equailateral triangle is inscribed in the parabola y^(2)=4ax whose ...

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  16. The equation to the pair of tangents drawn from (3,-2) to the parabola...

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  17. The combined equation to the tangents to the parabola y^(2) =4ax from...

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  18. Two tangents are drawn from a point (-2,-1) to the curve y^(2) =4x, ...

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  19. The angle between the tangents to the parabola y^(2)=4ax at the points...

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  20. The angle between the tangents to the parabola y^(2)=4ax at the points...

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