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The distance of the point \((6,-2 \sqrt{2})\) from the common tangent \(y=m x+c, m>0\), of the curves \(x=2 y^2\) and…

Q1

The distance of the point \((6,-2 \sqrt{2})\) from the common tangent \(y=m x+c, m>0\), of the curves \(x=2 y^2\) and \(x=1+y^2\) is

[JEE Main 2023, 25 Jan (Shift 1)]

a

\(\frac{1}{3}\)

b

5

c

\(\frac{14}{3}\)

d

\(5 \sqrt{3}\)

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