alleryThe equation of the plane through the points (1,0,0), (0,1,0), (0,0,1) is
Ax + y + z = 0
Bx + y + z = 1
Cx - y + z = 1
Dxyz = 1
Answer & Solution
Correct answer: B. x + y + z = 1
1. Use the intercept form for axis intercepts (1, 1, 1).
2. Equation: x/1 + y/1 + z/1 = 1.
3. Simplify: x + y + z = 1.
4. Check at each point: (1,0,0) gives 1; (0,1,0) gives 1; (0,0,1) gives 1.
_Source: syllabus Maths Part 2 Ch 11 "Three Dimensional Geometry", §11.6.3_
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