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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryPlane (Equations)Easy2 minPYQ_2022

MathematicsEasysingle choice

The equation of the plane through the intersection of the planes $x + y + z = 1$ and $2 x + 3 y - z + 4$ and parallel to the $x$ -axis is

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Answer:

Solution:

$(2 x + 3 y - z + 4) + λ (x + y + z - 1) = 0$ $n = (2 + λ) \hat{i} + (3 + λ) \hat{j} + (- 1 + λ) \hat{k}$ $n \cdot i = 0 \Rightarrow λ = - 2$ $\Rightarrow y - 3 z + 6 = 0$

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

⏱ 2mℹ️ Source: PYQ_2022

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