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If two tangents drawn from a point P to the parabola `y^2=4x` are at right angles, then the locus of P is `(a) `2x+1=0` (b) `x=-1` (c) `2x-1=0` (d) `x=1`

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To solve the problem, we need to find the locus of point P from which two tangents drawn to the parabola \( y^2 = 4x \) are at right angles. ### Step-by-Step Solution: 1. **Understanding the Parabola**: The given parabola is \( y^2 = 4x \). This is a standard form of a parabola that opens to the right. The vertex of this parabola is at the origin (0, 0), and the focus is at (1, 0). 2. **Equation of Tangents**: ...
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