Using image formula: $\frac{x-1}{1} = \frac{y-2}{1} = \frac{z-3}{1} = \frac{-2(1+2+3-9)}{1^2+1^2+1^2} = \frac{6}{3} = 2$
Image $= (1+2, 2+2, 3+2) = (3, 4, 5)$
Back to JEE Main 2024 Vectors & 3D Geometry
JEE Main 2024 — Mathematics Vectors & 3D Geometry
hard
mcq
2024
Official previous-year question
Verified 30 May 2026.
Question
The image of the point $(1, 2, 3)$ in the plane $x + y + z = 9$ is:
Options
- A
$(3, 4, 5)$
- B
$(5, 4, 3)$
- C
$(2, 3, 4)$
- D
$(3, 3, 3)$
Solution
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