Home Maths Coordinate Geometry (3D) JEE Main 2022 - ( Three Dimensional Geometry ) Let d be the distance between the foot of pe…
Maths Coordinate Geometry (3D) JEE Main 2022 - ( Three Dimensional Geometry ) Numeric Response
Published on: August 13, 2026

Let d be the distance between the foot of perpendiculars of the points P(l, 2 - 1) and Q(2, -1, 3) on the plane -x + y + z= 1. Then d 2 is equal to_______.

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The correct answer is:
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(26)

Points P(l, 2, -1) and Q (2, -1, 3) lie on same side of the plane.

Perpendicular distance of point P from plane is

Perpendicular distance of point Q from plane is

is parallel to given plane. So, distance between P and Q = distance between their foot of perpendiculars.

Alternate

-x + y+ z-1 = 0

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