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Parabola question

2006 · Shift 0 · Q80

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PYQ Library
JEE Main
Mathematics
Parabola
2006 · Shift 0 · Q80

Parabola question

2006 · Shift 0 · Q80

JEE MainMathematicsParabolaMCQ+4 / −1

The locus of the vertices of the family of parabolas

y = {{{a^3}{x^2}} \over 3} + {{{a^2}x} \over 2} - 2a

is :

A
$xy = {{105} \over {64}}$
B
$xy = {{3} \over {4}}$
C
$xy = {{35} \over {16}}$
D
$xy = {{64} \over {105}}$

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