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Point Form of Normal: Ellipse

what are equa...

Question

what are equations of tangents and chords of parabola,ellipse and hyperbola?

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Solution

Equation of tangents:
To parabola :y² = 4ax is yy₁ = 2a(x+x₁)
To ellipse : x²/a² + y²/b² =1 is xx₁/a^₂ + yy₁ /b² =1
To hyperbola : x²/a² - y²/b² =1 is xx₁/a^₂ - yy₁ /b² =1

And equation of chord of contact is same as that of equation of the tangents for all three cases.

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