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CGP EDU Academic Team
Published on: August 13, 2026
A perpendicular is drawn from a point on the line 
to the plane x + y + z = 3 such that the foot of the perpendicular Q also lies onthe plane x - y + z = 3. Then the coordinates of Q are
Text Solution
Verified by ExpertsThe correct answer is:
A
(2, 0, 1)
Let point P on the line is (2 
+ 1, - 
- 1, 
)
The foot of perpendicular Q is given by
Q Lies on x + y + 2 = 3 & x-y + z = 3
x + z = 3 &y = 0
is 
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