Practicing Success
A plane II makes intercepts 3 and 4 respectively on x and z axes. If II is parallel to y -axis, then its equation is |
$3x + 4z = 12 $ $4x + 3z = 12 $ $3y + 4z = 12 $ $4y + 3y = 12 $ |
$4x + 3z = 12 $ |
Let the equation of the plane be $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$ .................(i) It makes intercepts 3 and 4 respectively on x and z-axis. $∴ a = 3 $ and $ c = 4 $ It is given that the plane (i) is parallel to y -axis i.e $\frac{x}{0}=\frac{y}{1}=\frac{z}{0}$ $∴ \frac{1}{a}×0 +\frac{1}{b}×1+\frac{1}{c}×0 = 0 ⇒ \frac{1}{b}= 0 $ Hence, the equation of the plane is $\frac{x}{3}+\frac{z}{4}= 1 $ or , $ 4x + 3z = 12 $ |