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The plane x + y + z = 3 cuts intercepts on the coordinate axes equal to
A1, 1, 1
B0, 0, 0
C3, 0, 0
D3, 3, 3
Answer & Solution
Correct answer: D. 3, 3, 3
1. Intercept form is x/a + y/b + z/c = 1.
2. Rewriting: x/3 + y/3 + z/3 = 1, so a = b = c = 3.
3. Hence the intercepts are 3, 3, 3.
_Source: Maharashtra Balbharati Std XII Mathematics Part 1, Ch 6 "Line and Plane" §6.5_
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