If `(x-h)^(2)=4a(y-k)` represents a parabola then ends of latusrectum

If the locus of the point (4t^(2)-1,8t-2) represents a parabola then the equation of latusrectum is

Ifthe equation (2x-y-3)^(2)=-20(x+2y-4) represents a parabola then its vertex is

The solution of (dy)/(dx) = (ax + h)/(by + k) represents a parabola when

If the vertex of a parabola is (0, 2) and the extremities of latusrectum are (-6, 4) and (6, 4) then, its equation, is

The area between the parabola y^(2)=4x normal at one end of latusrectum and X -axis in sq.units is

Consider a hyperbola H : x^(2)-y^(2) =k and a parabola P:y=x^(2) then identify the correct statements(S)

Area bounded by the parabola x^(2)=4y and its latusrectum is

Find the area of the parabola y^(2)=4ax and the latusrectum.