Question

Find the normal to the ellipse `(x^2)/(18)+(y^2)/8=1` at point (3, 2).

Answer 1

Equation of normally to ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` at point `P(x_(1),y_(1))` is `(a^(2)x)/(x_(1))-(b^(2)y)/(y_(1))=a^(2)-b^(2)`
So, equationn of normally to ellipse `(x^(2))/(18)+(y^(2))/(8)=1` at point P(3,2) `(18x)/(3)-(8y)/(2)j=18-8`
or 3x-2y=5