Let the equation of the plane passing through the line x - 2y - z - 5 = 0 = x + y + 3z - 5 and parallel to the line x + y + 2z - 7 = 0 = 2x + 3y + z - 2 be ax + by + cz = 65. Then the distance of the point (a, b, c) from the plane 2x + 2y - z + 16 = 0 is

Let the equation of the plane passing through the line x -… — JEE Main 2023 Mathematics PYQ

JEE Main 2023 · 25 Jan · Shift 1 · numerical answer

Let the equation of the plane passing through the line

x - 2y - z - 5 = 0 = x + y + 3z - 5

and parallel to the line

x + y + 2z - 7 = 0 = 2x + 3y + z - 2

ax + by + cz = 65

. Then the distance of the point

(a, b, c)

from the plane

2x + 2y - z + 16 = 0

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Answer: 9

[JEE Main 2023 · 25 Jan · Shift 1]

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