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

The locus of the foot of the perpendicular from the centre of the ellipse x^(2)+3y^(2)=3 on any tangent to it is

A tangent to y^(2)=7x is equally inclined with the coordinate axes.Then the area of the trianglinate by the tangent is coordinate axis (in sq.unts) is

If the lines x^(2)+(2+k)xy-4y^(2)=0 are equally inclined to the coordinate axes,then k=

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 .

The locus of the foot of the perpendicular drawn from the centre on any tangent to the ellipse x^2/25+y^2/16=1 is:

If the tangent to a curve at a point (x ,\ y) is equally inclined to the coordinate axes, then write the value of (dy)/(dx) .