Published by:
CGP EDU Academic Team
Published on: August 12, 2026
Image point of
in the plane
is
Text Solution
Verified by ExpertsThe correct answer is:
A
Let Q be image of the point
in the given plane, then PQ is normal to the plane.
The d.r.'s of PQ are 2, –1,1
Since PQ passes through (1, 3, 4) and has d.r's 2, 1, –1;

therefore, equation of plane is
, (say)

So, co-ordinates of Q be

Let R be the mid point of PQ, then co-ordiantes of R are
i.e., 
Since R lies on the plane
⇒ ⇒ 
So, co-ordinates of Q are (–3, 5, 2).
Trick : From option , mid point of (–3, 5, 2) and (1,3,4) satisfies the equation of plane
.
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