The equation of the plane which is parallel to y-axis and cuts off intercepts of length 2 and 3 from x-axis and z-axis is

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Solution

The correct option is B

Equation of plane parallel to y - axis is, ax + bz + 1 = 0
Also 2a + 1 = 0 $\Rightarrow a = - \frac{1}{2}$ and $3 b + 1 = 0 \Rightarrow b = - \frac{1}{3}$
$∴$ 3x + 2z = 6
Aliter: Equation of plane
$\frac{x}{2} + \frac{z}{3} = 1 \Rightarrow 3 x + 2 z = 6$

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