Search any question & find its solution
Question:
Answered & Verified by Expert
If the planes $\bar{r} \cdot(2 \hat{i}-\lambda \hat{j}+\hat{k})=3$ and $\bar{r} \cdot(4 \hat{i}-\hat{j}+\mu \hat{k})=5$ are paralle, then values of $\lambda$ and $\mu$ are respectively
Options:
Solution:
2038 Upvotes
Verified Answer
The correct answer is:
$\frac{1}{2}, 2$
The two planes are parallel hence
$\begin{aligned}
& \frac{2}{4}=\frac{-\lambda}{-1}=\frac{1}{\mu} \\
& \Rightarrow \lambda=\frac{1}{2} \text { and } \mu=2
\end{aligned}$
$\begin{aligned}
& \frac{2}{4}=\frac{-\lambda}{-1}=\frac{1}{\mu} \\
& \Rightarrow \lambda=\frac{1}{2} \text { and } \mu=2
\end{aligned}$
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.