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Question
The intercepts made by the plane 2x – 3y + 5z +4 = 0 on the co-ordinate axis are `-2, 4/3, - 4/5`.
Options
True
False
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Solution
This statement is True.
Explanation:
First let’s convert the given equation to intercept form i.e. `x/a + y/b + z/c` = 1
Where, a, b and c are x, y and z intercepts respectively!
Given, 2x – 3y + 5z + 4 = 0
⇒ – 2x + 3y – 5z = 4
Dividing by 4 both side
⇒ `X/(-2) + Y/(4/3) + Z/(4/(-5))` = 1
On comparing, we have intercepts as `-2, 4/3, -4/5`
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