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AIEEE 2012

JEE Main 2012 Mathematics question on Three Dimensional Geometry

The equation of a plane passing through the line of intersection of the planes x+2y+3z=2x + 2y + 3z = 2 and x−y+z=3x - y + z = 3 and at a distance 232\sqrt{3} from the point (3,1,−1)(3, 1, -1) is
  1. A.
    5x−11y+z=175x - 11y + z = 17
  2. B.
    2x+y=32−1\sqrt{2}x + y = 3\sqrt{2} - 1
  3. C.
    x+y+z=3x + y + z = \sqrt{3}
  4. D.
    x−2y=1−2x - \sqrt{2}y = 1 - \sqrt{2}
Show answer

Correct option: A

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