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Let O be the vertex and Q be any point o...

Let O be the vertex and Q be any point on the parabola `,x^(2) =8y `. If the point P divides the line segment OQ internally in the ratio 1: 3 then the locus of P is:

A

`x^(2)=y`

B

`y^(2)=x`

C

`y^(2)=2x`

D

`x^(2)=2y`

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. The length of the normal chord drawn at one end of the latus rectum of...

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  2. The locus of apoint that divides chords of slope 2 of the parabola y^(...

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  3. Let O be the vertex and Q be any point on the parabola ,x^(2) =8y . If...

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  4. If a normal chord of a puint on the parabola y^(2) = 4ax, subtends a r...

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  5. If a normal subtends a right angle at the vertex of a parabola y^(2)=4...

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  6. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

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  7. The circle passing through three conormal points also passes through

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  8. The normal at 'P' cuts the axis of the parabola y^(2) =4ax in G and S...

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  9. If the normals at two points on the parabola y^(2)=4ax intersect on t...

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  10. If the normals at two points on the parabola intersects on the curve t...

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  11. The locus of the point of intersection of perpendicular tangents to th...

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  12. The three normals from a point to the parabola y^(2)=4ax cut the axes...

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  13. If the normals from any point to the parabola x^(2)=4y cuts the line y...

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  14. If a circle cuts the parabola y^(2)=4ax in four points then the algebr...

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  15. The feet of the normals to y^(2)= 4ax from the point (6a,0) are

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

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  17. The normal at a point P on the parabola y^(2)=4ax cuts the curve aga...

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  18. The subnormal of the parabola y^(2)=4ax is equal to

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  19. The length of the subnomal to the curve y^2=2px is

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  20. If P is a point on the parabola y^(2)=4ax such that the subtangent and...

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