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Q69.If two tangents drawn from a point P to the parabola y2 = 4x are at right angles, then the locus of P is (1) 2x + 1 = 0 (2) x = โˆ’1 (3) 2x โˆ’1 = 0 (4) x = 1 =

What This Question Tests

This is a direct conceptual question about the director circle of a parabola, which is the locus of the point of intersection of two perpendicular tangents.

Concepts Tested

Equation of tangent to parabolaCondition for perpendicular tangentsLocus

Formulas Used

y^2 = 4ax

Equation of director circle: x = -a

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