If the line `lx+my=1` is normal to the hyperbola `(x^2)/9-(y^2)/4=1,` show that, `9/(l^2)-4/(m^2)=169.`

If the line x +y+ k =0 is a normal to the hyperbola x^2/9 - y^2/4 =1 then k =

IF the line x + y +k =0 is a normal to the hyperbola (x^2)/(9)-(y^2)/(4)=1 then k=

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)

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)

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)) .