## Equation of Normal to Ellipse in all Forms

Equation of Normal to ellipse : $$x^2\over a^2$$ + $$y^2\over b^2$$ = 1 (a) Point form : The Equation of normal to the given ellipse at ($$x_1, y_1$$) is $$a^2x\over x_1$$ + $$b^2y\over y_1$$ = $$a^2-b^2$$ = $$a^2e^2$$ Example : Find the normal to the ellipse $$9x^2+16y^2$$ = 288 at the point (4,3). Solution : …