Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Medium2 minQB

MathematicsMediumsingle choice

Consider plane $P : x + y + z = 3$ and circle $x^{2} + y^{2} = 1, z = 0$ . The images of points on the circle in plane $P$ lie on which plane?

Answer:

Solution:

Reflect $(cos θ, sin θ, 0)$ in $x + y + z = 3$ and eliminate $θ$ ; the reflected locus lies in $2 x + 2 y - z = 6$ .

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Plane (Equations)

⏱ 2mℹ️ Source: QB

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