Find the points on the ellipse `x^2 + 3y^2 = 6` where the tangent are equally inclined to the axes. Prove also that the length of the perpendicular from the centre on either of these tangents is `2`.

Find the points on the curve y =3x^2-9x+8 at which the tangents are equally inclined to the axes.

Find the points on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

Find the points on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

Find the coordinates of those points on the ellipse x^2/a^2 + y^2/b^2 = 1 , tangents at which make equal angles with the axes. Also prove that the length of the perpendicular from the centre on either of these is sqrt((1/2)(a^2+b^2)

Find the coordinates of those points on the ellipse x^2/a^2 + y^2/b^2 = 1 , tangents at which make equal angles with the axes. Also prove that the length of the perpendicular from the centre on either of these is sqrt((1/2)(a^2+b^2)

Find the point on the curve y=3x^(2)-9x+8 at which the tangents are equally inclined with the axes.

Find the point on the curve y=3x^2-9x+8 at which the tangents are equally inclined with the axes.

Find the points on the curve 2a^(2)y=x^(3)-3ax^(2), where the tangents are parallel to x -axis.

A tangent to 3x^2 + 4y^2=12 is equally inclined with the coordinate axes. Then the perpendicular distance from the centre of the ellipse to this tangent is