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The distance of the line \(\frac{x-2}{2}=\frac{y-6}{3}=\frac{z-3}{4}\) from the point \((1,4,0)\) along the line \(\frac…

Q1

The distance of the line \(\frac{x-2}{2}=\frac{y-6}{3}=\frac{z-3}{4}\) from the point \((1,4,0)\) along the line \(\frac{x}{1}=\frac{y-2}{2}=\frac{z+3}{3}\) is :

[JEE Main 2025, 23 Jan (Shift 2)]

a

\(\sqrt{17}\)

b

\(\sqrt{14}\)

c

\(\sqrt{13}\)

d

\(\sqrt{15}\)

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