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Eamcet Mathematics
Co - ordinate Geometry 3D Geometry

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Q.

Equation of the plane containing the line 3x + 4y + 6z –3 = 0 = 2x – 4y + z + 6 and passing through the origin is

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Correct choice: C

Explanation:

Any plane passing through point of intersection of the plane
3x + 4y + 6z –3 = 0 and (2x – 4y + z + 6) = 0 is
(2x – 4y + z + 6) + λ(3x + 4y + 6z – 3) = 0 ……………….(1)
Since if passes through origin 6 – 3λ = 0
∴ Putting λ = 2 in (1) we get the required equation as 8x + 4y + 13z = 0
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