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IF three distinct normals to the parabol...

IF three distinct normals to the parabola `y^(2)-2y=4x-9` meet at point (h,k), then prove that `hgt4`.

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To prove that if three distinct normals to the parabola \( y^2 - 2y = 4x - 9 \) meet at the point \( (h, k) \), then \( h > 4 \), we can follow these steps: ### Step 1: Rewrite the equation of the parabola The given equation of the parabola is: \[ y^2 - 2y = 4x - 9 \] We can rewrite it in a more standard form by completing the square for \( y \): ...
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