Q10

Geometry Level pending

The locus of the vertices of the family of parabolas y = ( a 3 x 2 / 3 ) + ( a 2 x / 2 ) − 2 a y\quad ={ \quad (a }^{ 3 }{ x }^{ 2 }/3)\quad +\quad ({ a }^{ 2 }x/2)\quad -\quad 2a is:

xy=105/64 xy=3/4 xy=35/16 xy=64/105

Sahil Bansal by Sahil Bansal , 21, India

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