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  4. The equation of plane containing z-axis and passing through the point (1,2,3) is

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Q. The equation of plane containing $z$-axis and passing through the point $(1,2,3)$ is

Vector Algebra

Solution:

Equation of the plane containing $z$-axis is
$a x+b y=0 $
$\Rightarrow a+2 b=0 \Rightarrow a=-2 b$
$-2 b x+b y=0 \Rightarrow 2 x=y$