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Co - ordinate Geometry 3D Geometry

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Equation of the plane passing through the point (1, 2, 3) and parallel to the plane x + 2y + 3z + 4 = 0 also passes through the point

A. (–4, –2, –3)

B. (–4, 3, –2)

C. (–4, 3, 2)

D. (4, 3, 2)

E. None of the above

View Answer

Correct choice: C

Explanation:

Equation of any plane parallel to x + 2y – 3z + 4 = 0 is x + 2y – 3z = λ
Since it passes through (1, 2, 3)
1 + 4 – 9 = λ or λ = –4
∴Equation of plane is x + 2y – 3z + 4 = 0 clearly (–4, 3, 2) satisfies it

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Eamcet Mathematics Co - ordinate Geometry 3D Geometry

Eamcet Mathematics
Co - ordinate Geometry 3D Geometry