Search any question & find its solution
Question:
Answered & Verified by Expert
If the lines $\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}$ and $\frac{x-2}{1}=\frac{y+m}{2}=\frac{z-2}{1}$ intersect each other, then value of $m$ is
Options:
Solution:
2356 Upvotes
Verified Answer
The correct answer is:
-1
Two intersection lines are
$$
\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}=\lambda \text { and } \frac{x-2}{1}=\frac{y+m}{2}=\frac{z-2}{1}=\mu
$$
From (1) and (2) $\lambda=0$ and $\mu=-1$ Then from (3), we get $m=-1$
$$
\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-1}{4}=\lambda \text { and } \frac{x-2}{1}=\frac{y+m}{2}=\frac{z-2}{1}=\mu
$$
From (1) and (2) $\lambda=0$ and $\mu=-1$ Then from (3), we get $m=-1$
Looking for more such questions to practice?
Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.