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

Question

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

Neha Sethi · Accepted Answer

Dear student

Now, In our question a2=9 and b2=4Substituting the value of a2 and b2 in a2l2-b2m2=a2+b22, we get9l2-4m2=9+42⇒9l2-4m2=169 Regards