The lacus of the verties of the family of parabolas `y=a^(3)/3x^(2)+a^(2)/2x-2a,` is

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

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

The vertex of the parabola y^(2)+4x-2y+3=0 is

The value of k such that the family of parabolas y=cx^(2)+k is the orthogonal trajectory of the family of ellipse x^(2)+2y^(2)-y=c, is

The focus of the parabola y = 2x^(2) + x is

The area of the region bounded by the parabolas x=-2y^(2) and x=1-3y^(2) is

The equation of the directrix of the parabola 25{(x-2)^(2)+(y+5)^(2)}=(3x+4y-1)^(2), is

Axis of the parabola x^(2)-3y-6x+6 = 0 is

The area of the region included between the parabola y=(3x^(2))/(4) and the line 3x-2y+12=0 is

The locus of centroid of triangle formed by a tangent to the parabola y^(2) = 36x with coordinate axes is (a) y^(2) =- 9x (b) y^(2) +3x = 0 (c) y^(2) = 3x (d) y^(2) = 9x