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  • Fill in the blanks: A plane passes through the points (2, 0, 0), (0, 3, 0) and (0, 0, 4). The equation of the plane is ______.

Fill in the blanks:

A plane passes through the points (2, 0, 0), (0, 3, 0) and (0, 0, 4). The equation of the plane is ______.

Answers (1)

We know, the equation of a plane cutting the coordinate axes at (a, 0, 0), (0, b, 0) and (0, 0, c) is given as

\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1

In this case, a = 2, b = 3, and c = 4.
Therefore, putting these values in the equation of the plane, we get

\frac{x}{2}+\frac{y}{3}+\frac{z}{4}=1

 

Posted by

infoexpert24

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