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 : …

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