Three Dimensional Geometry Question 222

Question: The intercepts of the plane $ 5x-3y+6z=60 $ on the co-ordinate axes are

[Pb. CET 2000 ; MP PET 2001]

Options:

A) $ (10,,20,,-10) $

B) (10, ? 20, 12)

C) (12, ? 20, 10)

D) (12, 20, ? 10)

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Answer:

Correct Answer: C

Solution:

$ \frac{5x}{60}-\frac{3y}{60}+\frac{6z}{60}=1 $
Þ $ \frac{x}{12}-\frac{y}{20}+\frac{z}{10}=1 $ Hence, the intercepts are (12, ?20, 10).