Find the points on the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` such that the tangent at each point makes equal angles with the axes.

Find the eccentric angle of the point P on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 tangent at which,is equally inclined to 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)

The point in the first quadrant of the ellipse (x^2)/(25)+(y^2)/(144)=1 at which the tangent makes equal angles with the axes (a,b) then a+b=?

Find the points on the circle x^2+y^2=9 such that the tangents formed at these points make equal intercepts on the axes.

" Locus of the point of intersection of tangents to the ellipse " (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 " which makes an angle " theta " is."

If y=mx+c is a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then the point of contact is

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 equation of the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which makes equal intercepts on the axes

Find the locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 form a triangle of constant area with the coordinate axes.