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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Medium2 minPYQ_2022

MathematicsMediumsingle choice

The equation of the plane passing through the point $(2, 2, 1)$ and the intersection of the planes $x + 2 y - 3 z + 1 = 0$ and $3 x - 2 y + 4 z + 3 = 0$ is

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But it passes through $(2, 2, 1)$ $\Rightarrow (2 + 2 \times 2 - 3 \times 1 + 1) + λ (3 \times 2 - 2 \times 2 + 4 \times 1 + 3) = 0 \Rightarrow 4 + 9 λ = 0 \Rightarrow λ = \frac{- 4}{9} in eq. (1) we get 3 x - 26 y + 43 z + 3 = 0$

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

⏱ 2mℹ️ Source: PYQ_2022

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