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Write the intercepts made by the plane 2...

Write the intercepts made by the plane `2x-3y+4z=12` on the coordinate axes.

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

According to the question`\quad 2 x-3 y+4 z=12`

`\frac{2 x}{12}-\frac{3 y}{12}+\frac{4 z}{12}=1`

`\frac{x}{6}+\frac{y}{4}+\frac{z}{3}=1`

Hence,`\quad a=6.1`

`b=-4 .` `c=3 .`
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