Home Maths Coordinate Geometry (3D) JEE Main 2023 - ( Three Dimensional Geometry ) The plane, passing through the points (0, -1…
Maths Coordinate Geometry (3D) JEE Main 2023 - ( Three Dimensional Geometry ) Single Correct MCQ
Published on: August 13, 2026

The plane, passing through the points (0, -1, 2) and (-1, 2, 1) and parallel to the line passing through (5, 1, -7) and (1, -1, -1), also passes through the point

A
(-2, 5, 0)
B
(1, - 2, 1)
C
(2, 0, 1)
D
(0, 5, -2)

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Text Solution

Verified by Experts
The correct answer is:
A

Let A(0,-l, 2) & B(-1,2,1) and given plane is parallel to line passing through (5,1, 7) & (1,-1,-1)

So, normal vector to the plane is given by,

Equation of plane

16(x- 0) + 10(y + 1) + 14 (z- 2) = 0

8x + 5y + 7z = 9

Now satisfying the points from option in the plane we get,

(-2,5,0) only point which satisfy the plane.

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