1.

If the point P(4, –2) is the one end of the focal chord PQ of the parabola y^(2) = x, then the slope of the tangent at Q is

Answer»

`-1//4`
`1/4`
`4`
`-4`

Solution :The equation of the tangent at (4, -2) to `y^(2) = X` is `-2y = 1/2(x+4) or x + 4y + 4 = 0`
Its slope is `-1/4`
Therefore the slope of the perpendicular line is 4. Since the tangents at the end of FOCAL chord of a PARABOLA are at RIGHT angle, the slope of the tangent at Q is 4.
Hence, (C) is the correct answer.


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