If the line `(a x)/3+(b y)/4=c`be a normal to the ellipse `(x^2)/(a^2)+(y^2)/(a^2)=1,` show that `5c=a^2e^2` where `e` is the eccentricity of the ellipse.

Show that the line (ax)/(3)+(by)/(4)=c be a normal to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 , When 15c=a^(2)e^(2) where e is the eccentricity of the ellipse.

The line y=mx+c is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, if c

If the focal chord of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, is normal at (a cos theta,b sin theta) then eccentricity of the ellipse is

Area bounded between two latus-rectum of the ellipse (x^(2))/(a^(2))+ (y^(2))/(b^(2))= 1, a gt b is _____ (where, e is eccentricity of the ellipse)

if the line y=2x+c be a tangent to the ellipse (x^(2))/(8)+(y^(2))/(4)=1, then c is equal to

Normal at one end of the latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through one end of minor axis, then e^(4)+e^(2)= ( where e is the eccentricity of the ellipse)

If e be the eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 , then e =