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(B) The intercept form of the equation of a plane is $\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$.Since the plane is parallel to the $y$-axis,it does

Vedclass · Accepted Answer

$3x + 2z = 6$

Vedclass · Answer

(B) The intercept form of the equation of a plane is $\frac{x}{a} + \frac{y}{b} + \frac{z}{c} = 1$.Since the plane is parallel to the $y$-axis,it does not intersect the $y$-axis,meaning the intercept on the $y$-axis is infinite,so the term involving $y$ vanishes.The intercepts on the $x$-axis and $z$-axis are given as $2$ and $3$ respectively.Thus,the equation of the plane is $\frac{x}{2} + \frac{z}{3} = 1$.Multiplying the entire equation by $6$,we get $3x + 2z = 6$.

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

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