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  • State True or False for the given statement: The intercepts made by the plane 2x - 3y + 5z + 4 = 0 on the coordinate axes are -2, 4/3, -4/5.

State True or False for the given statement:

The intercepts made by the plane 2x - 3y + 5z + 4 = 0  on the coordinate axes are -2, \frac{4}{3},\frac{-4}{5}

Answers (1)

To begin with, we convert the given plane equation to intercept form:

  \frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1where a, b, and c are the intercepts on x, y, and z, axes respectively.
Given, 2x - 3y + 5z + 4 = 0

\Rightarrow -2x + 3y - 5z = 4

Dividing this equation on both sides by 4,

\Rightarrow \frac{-1}{2}x + \frac{3}{4}y - \frac{5}{4}z = 1

On comparison, we get the intercepts -2, 4/3, and -4/5 respectively.

Therefore, the statement is True.

Posted by

infoexpert24

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