Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Medium2 minQB
MathematicsMediumsingle choice

Statement 1 - is a point . Let be the images of in the and planes respectively. Then the equation of the plane passing through the points and is .

 

Statement 2 - The image of a point in a plane is the foot of the perpendicular drawn from to the plane.

Options:

Answer:
C
Solution:

. Each satisfies (for ), so Statement 1 is true. The image of in a plane is such that the mid-point of lies on the plane and is perpendicular to it. The foot is the mid-point, not the image, so Statement 2 is false.

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Plane (Equations)
⏱ 2mℹ️ Source: QB

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