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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

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The correct Answer is:
4
(4) `y^(2)=x`
`:." "4a=1`
`P(at_(1)^(2),2at_(1))-=(4,-2)`
`:." "t_(1)=-4`
Also, `t_(1)t_(2)=-1` as PQ is a focal chord.
Slope of tangent at `t_(2)` is `(1)/(t_(2))=-t_(1)=4`
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CENGAGE-PARABOLA-Exercise (Numerical)
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  17. Foot of perpendicular from point P on the parabola y^(2)=4ax to the ax...

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  18. Points A, B, C lie on the parabola y^2=4ax The tangents to the parabol...

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