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A plane meets the axes at (a,0,0), (0,b,0), (0,0,c). Its equation is
Aax + by + cz = 1
Bx/a + y/b + z/c = 1
Cx/a + y/b + z/c = 0
D(x+y+z)/(a+b+c) = 1
Answer & Solution
Correct answer: B. x/a + y/b + z/c = 1
1. The intercept form for a plane with intercepts a, b, c on the axes is x/a + y/b + z/c = 1.
2. Check at (a, 0, 0): a/a + 0 + 0 = 1. ✓
3. Check at (0, b, 0): 0 + b/b + 0 = 1. ✓
4. Check at (0, 0, c): 0 + 0 + c/c = 1. ✓ So option B is the intercept form.
_Source: NCERT Class 12 Maths Part 2 Ch 11 "Three Dimensional Geometry", §11.6.4_
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