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  4. The point of intersection of the perpendicular tangents to the parabola, y2=12 x, if slope of one of the tangents is 3 / 2 is

Q. The point of intersection of the perpendicular tangents to the parabola, , if slope of one of the tangents is is

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Solution:

Point of intersection of the perpendicular tangents lies on the directrix, .
Equation of the tangent having slope is .
By taking
we get, .

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