alleryThe plane through the points (1,1,0), (1,0,1) and (0,1,1) has equation
Ax + y + z = 2
Bx + y + z = 1
Cx + y - z = 0
D2x + 2y + 2z = 1
Answer & Solution
Correct answer: A. x + y + z = 2
1. Substitute (1,1,0): 1+1+0 = 2.
2. Substitute (1,0,1): 1+0+1 = 2.
3. Substitute (0,1,1): 0+1+1 = 2.
4. All three points satisfy x + y + z = 2.
_Source: syllabus Maths Part 2 Ch 11 "Three Dimensional Geometry", §11.6.3_
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