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$If PQ is the focal chord of parabola y^{2} = - x and P is (- 4, 2), then the slope of tangent at Q is$

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Correct option is C

y2=−x⇒2ydydx=−1∴ Slope of tangent at P,dydx(−4,2)=−14 slope of normal at P =4⇒ Slope of tangent at Q=4 since tangent at one end of focal is parallel to the noral at the other end

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If PQ is the focal chord of parabola y2=−x and P is (−4,2), then the slope of tangent at Q is

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$If PQ is the focal chord of parabola y^{2} = - x and P is (- 4, 2), then the slope of tangent at Q is$