Question

An equation of the plane passing through the points $(3, 2, -1)$, $(3, 4, 2)$ and $(7, 0, 6)$ is $5x + 3y - 2z = \lambda$, where $\lambda$ is

• A. $23$
• B. $21$
• C. $19$
• D. $27$

Answer 1

Answer: (A)

$23$

Answer 2

Equation of plane through $(3, 2, -1)$, $(3, 4, 2)$ and $(7,0,6)$ is $\begin{vmatrix}x-3&y-2&z+1\\\ 0&2&3\\\ 4&-2&7\end{vmatrix}=0$ i.e., $5x + 3y-2z = 23$ $\therefore \lambda = 23$