Home Maths Coordinate Geometry (3D) Plane The reflection of the point (2, –1, 3) in th…
Maths Coordinate Geometry (3D) Plane Single Correct MCQ
Published on: August 11, 2026

The reflection of the point (2, –1, 3) in the plane is

A
B
C
D

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Text Solution

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The correct answer is:
B

Let P be the point (2, –1, 3) and Q be its reflection in the given plane.

Then, PQ is perpendicular to the given plane

Hence, d.r.’s of PQ are 3, –2, 1 and consequently, equations of PQ are

Any point on this line is

Let this point be Q .

Then midpoint of PQ

This point lies in given plane i.e.

⇒ ⇒ ⇒ ⇒ ⇒ ⇒

Hence, the required point Q is

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