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Question
The intercepts made by the plane 2x – 3y + 5z + 4 = 0 on the coordinate axes are `-2, 4/3, (-4)/5`.
Options
True
False
Solution
This statement is True.
Explanation:
Equation of the plane is 2x – 3y + 5z + 4 = 0
⇒ 2x – 3y + 5z = – 4
⇒ `2/(-4)x - (3y)/(-4) + (5z)/(-4)` = 1
⇒ `x/(-2) - y/(4/3) + z/((-4)/5)` = 1
So, the required intercepts are `-2, 4/3` and `- 4/5`
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