If P be a points on axis of parabola 3y^(2)+4y-6x+8=0 from which three distinct normals can be drawn to the given parabola then the coordinates of P can be

Find the point on the axis of the parabola 3y^2+4y-6x+8 =0 from where three distinct normals can be drawn.

The set of points on the axis of the parabola (y-2)^2=4(x-1/2) from which three distinct normals can be drawn to the parabola are

The set of points on the axis of the parabola y^2 =4ax , from which three distinct normals can be drawn to theparabola y^2 = 4ax , is

The set of points on the axis of the parabola (x-1)^(2)=8(y+2) from where three distinct normals can be drawn to the parabola is the set (h,k) of points satisfying

The set of points on the axis of the parabola (x-1)^2=8(y+2) from where three distinct normals can be drawn to the parabola is the set (h ,k) of points satisfying (a)h >2 (b) h >1 (c)k >2 (d) none of these

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

If (h ,k) is a point on the axis of the parabola 2(x-1)^2+2(y-1)^2=(x+y+2)^2 from where three distinct normals can be drawn, then prove that h > 2.

If (h,k) is a point on the axis of the parabola 2{(x-1)^2 + (y-1)^2} = (x+y)^2 from where three distinct normal can be drawn, then the least integral value of h is :

The set of points on the axis of the parabola y^2-4x-2y+5=0 from which all the three normals to the parabola are real , is

If three distinct normals can be drawn to the parabola y^(2)-2y=4x-9 from the point (2a, 0) then range of values of a is