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If P is a point on the parabola y^(2)=8x...

If P is a point on the parabola `y^(2)=8x` and A is the point (1,0) then the locus of the midpoint of the line segment AP is

A

`y^(2)=4 (x-(1)/(2))`

B

`y^(2)=2(2x+1) `

C

`y^(2)=x-(1)/(2)`

D

`y^(2) =2x+1`

Text Solution

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The correct Answer is:
A
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. If a normal chord of a puint on the parabola y^(2) = 4ax, subtends a r...

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  2. If the chord y = mx +c subtends a right angle at the vertex of the par...

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  3. If P is a point on the parabola y^(2)=8x and A is the point (1,0) then...

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  4. The locus of the point of intersection of two tangents to the parabola...

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  5. The tangents at the points (at(1)^(2),2at(1)) , (at(2)^(2),2at(2)) on ...

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

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  7. The tangents at the points (at(1)^(2),2at(1)) , (at(2)^(2),2at(2)) on ...

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  8. If P (at(1)^(2),2at(1)) and Q (at(2)^(2),2at(2)) are two variable poin...

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  9. The length of the chord of contact of tangents drawn from (x(1),y(1)) ...

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  10. The area of the triangle formed by the tangents and chord of contact f...

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  11. If y(1),y(2) and y(3) are the ordinates of the vertices of a triangle ...

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

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  13. The tangents to the parabola y^(2)=4ax at P(t(1)) and Q (t(2)) inters...

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  14. The orthocentre of the triangle formed by three tangents to the parabo...

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  15. Prove that the orthocentre of the triangle formed by any three tangent...

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  16. The feet of the perpendiculars drawn from the focus of a parabola to t...

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  17. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  18. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  19. If the distances of two points P and Q on the parabola y^(2) = 4ax fro...

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  20. PSQ is a focal chord of a parabola whose focus is S and vertex A . PA ...

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