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The foot of perpendicular of the point \((2,0,5)\) on the line \(\frac{x+1}{2}=\frac{y-1}{5}=\frac{z+1}{-1}\) is \((\alp…

Q1

The foot of perpendicular of the point \((2,0,5)\) on the line \(\frac{x+1}{2}=\frac{y-1}{5}=\frac{z+1}{-1}\) is \((\alpha, \beta, \gamma)\). Then.
Which of the following is NOT correct?

[JEE Main 2023, 25 Jan (Shift 2)]

a

\(\frac{\alpha \beta}{\gamma}=\frac{4}{15}\)

b

\(\frac{\alpha}{\beta}=-8\)

c

\(\frac{\beta}{\gamma}=-5\)

d

\(\frac{\gamma}{\alpha}=\frac{5}{8}\)

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