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  4. If the distance between a tangent to the parabola y2=4 x and a parallel normal to the same parabola is 2 √2, then possible values of gradient of either of them are -

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Q. If the distance between a tangent to the parabola $y^2=4 x$ and a parallel normal to the same parabola is $2 \sqrt{2}$, then possible values of gradient of either of them are -

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Solution:

Correct answer is (a) $-1$Correct answer is (b) $+1$Correct answer is (c) $-\sqrt{\sqrt{5}-2}$Correct answer is (d) $+\sqrt{\sqrt{5}-2}$