1.

Consider a fixed parabola C _(1) -=x ^(2) + y =0. A set of varying parabola (s) C thouches C _(1) at origin. Out of such curves C, a set of parabola (s)C_(2) are selected having vertex (-9,3). The locus of focus of curves C having same latus rectum as C _(1) will be

Answer»

`x ^(3) +y ^(2) =16xy ^(2)`
`(x ^(2) +y ^(2)) ^(2) =16Y ^(2)`
`(x ^(2) +y ^(2)) = 8y^(4)`
`x ^(2)+y ^(2) =15 y^(4)`

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