🛠️ JEE➗ Maths

Let the plane \(P\) pass through the intersection of the planes \(2 x+3 y-z=2\) and \(x+2 y+3 z=6\), and be perpendicula…

Q1

Let the plane \(P\) pass through the intersection of the planes \(2 x+3 y-z=2\) and \(x+2 y+3 z=6\), and be perpendicular to the plane \(2 x+y-z+1=0\). If \(d\) is the distance of \(P\) from the point \((-7,1,1)\), then \(d^2\) is equal to

[JEE Main 2023, 1 Feb (Shift 2)]

a

\(\frac{250}{83}\)

b

\(\frac{15}{53}\)

c

\(\frac{25}{83}\)

d

\(\frac{250}{82}\)

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