Question

Let $L_{1}$ and $L_{2}$ be the following straight lines
$L_{1}: \frac{x-1}{1}=\frac{y}{-1}=\frac{z-1}{3}$ and $L_{2}: \frac{x-1}{-3}-\frac{y}{-1}=\frac{z-1}{1}$
Suppose thestraight line
$L: \frac{x-\alpha}{1}=\frac{y-1}{m}=\frac{z-\gamma}{-2}$
lies in the plane containing $L_{1}$ and $L_{2}$, and passes through thepoint of intersection of $L_{1}$ and $L_{2}$. If the line $L$ bisects the acute angle between the lines $L_{1}$ and $L_{2}$, then which of the following statements is/are TRUE?

• A. $\alpha-\gamma=3$
• B. $l+m=2$
• C. $\alpha-\gamma=1$
• D. $l+m=0$

Answer 1

Answer: (A), (B)

$\alpha-\gamma=3$

Answer 2

(A) $\alpha-\gamma=3$
(B) $l+m=2$