[" If the line "(ax)/(3)+(by)/(4)=c" be a normal to the ellipse "(x)/(a^(2)),(x)/(y)],[" show that,"5c=a^(2)e^(2)" where "e" is the eccentricity of the "]

If the line (ax)/(3)+(by)/(4)= cbe a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(a^(2))=1, show that 5c=a^(2)e^(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 normal at the end of latus rectum of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 passes through (0,b) then e^(4)+e^(2) (where e is eccentricity) equals

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 is eccentricity of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 (where,a lt b), then

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

If y = x + c is a normal to the ellipse x^2/9+y^2/4=1 , then c^2 is equal to

If theta and phi are the eccentric angles of the end points of a chord which passes through the focus .of an ellipse x^2/a^2+y^2/b^2=1 .Show that tan(0//2)tan(phi//2)=((e-1)/(e+1)) ,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 =