Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Image point of (5, 4, 6) 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 direction ratios of PQ are 1,1,2. Since PQ passes through (5,4, 6) and has direction ratio 1,1,2;
Therefore, equation of PQ is
, (say)
∴ ∴ 
So, co-ordinates of Q be 
Let R be the mid point of PQ then co-ordinates of R are
i . e ., 
Since R lies on the plane
∴ ∴ 
⇒ ⇒ 
⇒ ⇒ 
So, co-ordinates of Q are (3, 2, 2).
Trick : From option , midpoint of (3, 2, 2) and (5, 4, 6) satisfies the equation of given plane.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The direction cosines of a line segment are If and the co-ordinates of A are (3, –6, 10), then …
If centroid of the tetrahedron , where are given by ( a , 2, 3),(1, b , 2) and (2, 1, c ) respect…
If , then projection of on the plane is
The points and are
The angle between two diagonals of a cube will be
The equations of the line passing through the point (1,2,–4) and perpendicular to the two lines an…