The locus of the vertex of the family of parabolas `y=x^(2)+2ax-1` ,is

" The locus of the vertices of the family of parabolas " y=ax^(2)+2a^(2)x+1 " is " (a!=0) " a curve passing through the point "

The locus of the vertex of the family of parabolas y=(a^(3)x^(2))/(3)+(a^(2x))/(2)-2a is xy=(105)/(64) (b) xy=(3)/(4)xy=(35)/(16) (d) xy=(64)/(105)

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

The orthogonal trajectory of the family of parabolas y^2 =4ax is

The locus of the middle points of the focal chord of the parabola y^(2)=4ax , is