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If(a, b) is midpoint of a chord passing ...

If(a, b) is midpoint of a chord passing through the vertex of the parabola `y^(2)=4x` then

A

a=2b

B

2a=b

C

`a^(2)=2b`

D

`b^(2)=2a`

Text Solution

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The correct Answer is:
D
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AAKASH SERIES-PARABOLA-PRACTICE EXERCISE
  1. Point on the parabola y^(2)=8x the tangent at which makes an angle (pi...

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  2. Equation of common tangent to y^(2)=32x and x^(2)=108 y is

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  3. The slope of tangents drawn from a point (4,10) to the parabola y^(2)=...

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  4. Find the angle between tangents drawn from P(2, 3) to the parabola y^(...

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  5. Angle between tangents drawn from (0,-a) to parabola x^(2) =4ay is

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

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

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  8. The locus of point of intersection of tangents to y^(2)=4ax which incl...

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  9. The midpoint of the chord 2x-y-2=0 of the parabola y^(2)=8x is

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

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  11. If(a, b) is midpoint of a chord passing through the vertex of the para...

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

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  13. If the slope of focal chord of y^(2) = 16x is 2 then the length of the...

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  14. The equation of the normal at the end of latusrectum in the fourth qua...

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  15. The number of distinct normals draw through the point (8,4sqrt(2)) to...

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  16. If a normal to the parabola y^(2)=8x at (2, 4) is drawn then the point...

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  17. If a normal chord drawn at 't' on y^(2) = 4ax subtends a right angle a...

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  18. If the normal subtends a right angle at the focus of the parabola y^(2...

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  19. The length of normal chord drawn at one end of latus rectum of y^(2)=4...

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  20. The points of intersection of the parabolas y^(2) = 5x and x^(2) = 5y ...

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