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How many normals can be drawn to parabol...

How many normals can be drawn to parabola `y^(2)=4x` from point (15, 12)? Find their equation. Also, find corresponding feet of normals on the parabola.

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To solve the problem of finding how many normals can be drawn to the parabola \( y^2 = 4x \) from the point \( (15, 12) \), and to find their equations along with the corresponding feet of the normals on the parabola, we can follow these steps: ### Step 1: Identify the parameters of the parabola The given parabola is \( y^2 = 4x \). This is a standard form of a parabola that opens to the right, where \( 4a = 4 \). Thus, we have: \[ a = 1 \] ...
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