The line `l x+m y+n=0` is a normal to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` . then prove that `(a^2)/(l^2)+(b^2)/(m^2)=((a^2-b^2)^2)/(n^2)`

The line l x+m y-n=0 is a normal to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 . then prove that (a^2)/(l^2)-(b^2)/(m^2)=((a^2-b^2)^2)/(n^2)

The line lx+my+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. then prove that (a^(2))/(l^(2))+(b^(2))/(m^(2))=((a^(2)-b^(2))^(2))/(n^(2))

The line L x+m y+n=0 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 , if

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

The line lx+my=n is a normal to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

The line lx+my=n is a normal to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1

If the line lx+my=1 is a normal to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 then (a^(2))/(l^(2))+(b^(2))/(m^(2))=

If the straight line lx+my=n is a normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 show that (a^(2))/(l^(2))-(b^(2))/(m^(2))=((a^(2)+b^(2))^(2))/(n^(2)) .

If straight line lx+my+n=0 is a tangent of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1, then prove that a^(2)l^(2)+b^(2)m^(2)=n^(2)

If the l x+ my=1 is a normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 , then shown that (a^(2))/(l^(2))-(b^(2))/(m^(2))=(a^(2)+b^(2))^(2)