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 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 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 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 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 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 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 equation of the tangents of the ellipse (x ^(2)) /(16) + (y ^(2))/(9) =1, which make equal intercepts on the axes.

the co-ordinates of the point P(x,y) lying in the first quadrant on the ellipse (x^(2))/(8)+(y^(2))/(18)=1 so that area of the triangle formed by the tangent at P and the co- ordinate axes is the smallest,are given by

The length of perpendicular from the centre to any tangent of the ellipse x^2/a^2 + y^2/b^2 =1 which makes equal angles with the axes, is : (A) a^2 (B) b^2 (C) sqrt(a^2-b^2)/2) (D) sqrt((a^2 + b^2)/2)