Home › UP Board Class 12 › Mathematics › Surface Areas and Volumes › The equation of the plane through the points (1,…
The 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: NCERT Class 12 Maths Part 2 Ch 11 "Three Dimensional Geometry", §11.6.3_
Related questions
Painting the outside of a toy needs to be worked out from its:Breaking a hard problem into solved smaller ones is the method:A cylindrical tube with a rounded end is a cylinder with a:Pouring a liquid into a container of another shape keeps its:Joining two solids at their flat faces hides those faces:Which solid is not among the basic ones met earlier?The word frustum comes from Latin, meaning a piece:The two circular ends of a frustum have radii that are: