Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Mathematics3D-Coordinate GeometryPlaneMedium2 min

MathematicsMediumsingle choice

Reflection of plane $2 x + 3 y + 4 z + 1 = 0$ in plane $x + 2 y + 3 z - 2 = 0$ is

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$2 x + 3 y + 4 z + 1 = 0$ \ $x + 2 y + 3 z - 2 = 0$

(iii) is reflection of plane reflection of $a x + b y + cz + d = 0$ in $a^{'} x + b^{'} y + c^{'} z + d^{'} = 0$ $= (a a^{'} + b b^{'} + cc^{'}) (a^{'} x + b^{'} y + c^{'} z + d^{'})$ $= (a^{'2} + b^{'2} + c^{'2}) (ax + by + cz + d)$ $2 (2 + 6 + 12) (x + 2 y + 3 z - 2) = (1^{2} + 2^{2} + 3^{2}) (2 x + 3 y + 4 z + 1)$ $4 (x + 2 y + 32 - 2) = 14 (2 x + 3 y + 4 z + 1)$ $12 x + 38 y + 64 z = 94$ $\Rightarrow 6 x + 19 y + 32 z = 47$

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Plane

⏱ 2m

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