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The locus of the vertices of the family ...

The locus of the vertices of the family of parabolas `y=(a^(3)x^(2))/(3)+(a^(2)x)/(2)-2a` is

A

`xy=(105)/(64)`

B

`xy=3/4`

C

`xy=35/16`

D

`xy=64/105`

Text Solution

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The correct Answer is:
A
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MODERN PUBLICATION-PARABOLA -MULTIPLE CHOICE QUESTION (LEVEL II)
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  8. The tangents at three points A,B,C on the parabola y^(2)=4x taken in ...

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  9. AB is a chord of a parabola y^(2)=4ax with the end A at the vertex ...

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  12. If b and c are the length of the segments of any focal chord of a para...

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  13. If the focus of a parabola divides a focal chord of the parabola in s...

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  14. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

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  15. The locus of the mid point of the line segment joining the focus to a...

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  16. A tangent is drawn to the parabola y=x^(2)+6 at the point (1,7) whi...

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  17. The locus of the vertices of the family of parabolas y=(a^(3)x^(2))/(3...

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  18. The axis of a parabola is along the line y=x and the distance of its ...

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  19. Three normals are dran to a parabola y^(2)=4ax from a given point (x...

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