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True or False: The intercepts made by the plane $2x-3y+5z+4=0$ on the co-ordinate axis are $-2,\large\frac{4}{3},\frac{-4}{5}.$

$\begin{array}{1 1} True \\ False \end{array} $

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  • Equation of a plane in the intercept form is $\large\frac{x}{a}+\frac{y}{b}+\frac{z}{c}$$=1$
The equation of the given plane is $2x-3y+5z+4=0$
This can be written as
or $-2x+3y-5z=4$
Dividing throughout by 4 we get,
$ \large\frac{x}{-2}+\frac{y}{4/3}+\frac{4}{-4/5}$
Hence the intercepts are $(-2,\large\frac{4}{3},\frac{-4}{5})$
Hence it is a $True$ statement
answered Jun 13, 2013 by meena.p

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