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Let the foot of perpendicular of the point \(P(3,-2,-9)\) on the plane passing through the points \((-1,-2,-3),(9,3,4)\)…

Q1

Let the foot of perpendicular of the point \(P(3,-2,-9)\) on the plane passing through the points \((-1,-2,-3),(9,3,4)\), \((9,-2,1)\) be \(Q(\alpha, \beta, \gamma)\). Then the distance of \(Q\) from the origin is:

[JEE Main 2023, 15 Apr (Shift 1)]

a

\(\sqrt{29}\)

b

\(\sqrt{35}\)

c

\(\sqrt{42}\)

d

\(\sqrt{38}\)

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