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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPerpendicular distance of a point from a planeHard2 minQB

MathematicsHardmultiple choice

Let $A = (0, 0, 0), B = (1, 1, 1)$ , plane $P : x - y + z = 3$ , and $Q = (a, b, c)$ vary on $P$ . Which are true?

Options:(select one or more)

Answer:

B, C

Solution:

Reflection for the sum gives $Q = (7/5, - 1/5, 7/5)$ , yielding 2. The extremal difference occurs on line $A B$ , giving $Q = (3, 3, 3)$ and $a - 2 b + c = 0$ .

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Perpendicular distance of a point from a plane

⏱ 2mℹ️ Source: QB

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