Practicing Success
The plane $2x-(1+\lambda ) y + 2\lambda z =0, \lambda \in R$ passes through the intersection of planes : |
$2x-y = 0 $ and $y-3z=0$ $2x+3z=0$ and $y=0$ $2x-y + 3z=0 $ and $y-3z=0$ $2x+3z=0 $ and $y-3z=0 $ |
$2x-y = 0 $ and $y-3z=0$ |
The correct answer is Option (1) → $2x-y = 0 $ and $y-3z=0$ $2x-(1+λ) y + 2λz =0$ is of the from $P_1+λP_2$ $\underbrace{2x-y}_{P_1}+λ\underbrace{-y+2z}_{P_2}=0$ it passes through $P_1:2x-y=0$ and $P_2:-y+2z=0$ |