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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

`4a sin^(2)theta`

B

`4a cos^(2) theta`

C

`4a cosec^(2) theta `

D

`4a sec^(2) theta`

Text Solution

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The correct Answer is:
C
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DIPTI PUBLICATION ( AP EAMET)-PARABOLA-EXERCISE 1 A
  1. A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diam...

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  2. The slopes of the focal chords of the parabola y^(2)=32 x which are ta...

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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 a chord of the parabola y^(2)=4x passes through its focus and makes...

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  5. The length of the chord of the parabola x^(2)=4ay passing through the ...

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  6. In the parabola y^(2)= 4ax the length of the chord passing through th...

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  7. The length of chord intercepted by the parabola y=x^(2)+3x on the line...

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

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  9. Prove that the portion or the tangent intercepted,between the point of...

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

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

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

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

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

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

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

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

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

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

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

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