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)+2(y-1)^(2)=(x+y+2)^(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)^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 (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

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

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

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

End points of the Latusrectum of the parabola (x-h)^(2)=4a(y-k) is

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