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JEE MainMathematicsModerate3D

A plane which bisects the angle between the two given planes 2x
- y + 2z - 4 = 0 and
x+2y+2z-2=0, passes through the point

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Planes bisecting the given planes are
2x−y+2z−43=±x+2y+2z−23\frac{2x - y + 2z - 4}{3} = \pm \frac{x + 2y + 2z - 2}{3}
⇒x−3y=2 or 3x+y+4z=6\Rightarrow x - 3y = 2\ or\ 3x + y + 4z = 6
out of the given points, only (2,-4,1) lies on the plane 3x+y+4z=

Source: Grass-G / M-28 Mathematics Paper FST 16 Jan.docx

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