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The locus of the vertices of the family ...

The locus of the vertices of the family of parabolas `y =[a^3x^2]/3 + [a^2x]/2 -2a` is:

A

`xy=64//105`

B

`xy=105//64`

C

`xy=3//4`

D

`xy=35//16`

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The correct Answer is:
B
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MCGROW HILL PUBLICATION-PARABOLA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
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  2. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

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  3. The locus of the vertices of the family of parabolas y =[a^3x^2]/3 + [...

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  4. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

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  5. A parabola has the origin as its focus and the line x""=""2 as the ...

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  6. The shortest distance between the lines y-x=1 and the curve x=y^2 is

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  7. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

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  8. Statement 1: An equation of a common tangent to the parabola y^2=16...

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  9. Given : A circle, 2x^2+""2y^2=""5 and a parabola, y^2=""4sqrt(5)""x . ...

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  10. Statement-1: The slopw of the tangent at any point P on a parabola, wh...

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  11. Statement 1 : The line x-2y=2 meets the parabola, y^2 + 2x = 0 only at...

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  12. The point of intersection of the normals to the parabola y^2=4x at the...

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  13. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

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  14. Area common to the circle x^(2)+y^(2)=9 an the parbola y^(1)=8x is

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

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  16. A chord is drawn through the focus of the parabola y^(2)=6x such that ...

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  17. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

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  18. Let PQ be a double ordinate of the parabola, y^2=-4x where P lies in t...

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  19. If the tangent to the conic, y - 6= x^2 at (2, 10) touches the circle,...

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  20. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

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