1. Tardigrade
  2. Question
  3. Mathematics
  4. If the lines (x-k/1)=(y-2/2)=(z-3/3) and (x+1/3)=(y+2/2)=(z+3/1) are co-planar, then the value of k is.

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. If the lines $\frac{x-k}{1}=\frac{y-2}{2}=\frac{z-3}{3}$ and $\frac{x+1}{3}=\frac{y+2}{2}=\frac{z+3}{1}$ are co-planar, then the value of $k$ is______.

JEE MainJEE Main 2021Three Dimensional Geometry

Solution:

$\begin{vmatrix}k+1 & 4 & 6 \\ 1 & 2 & 3 \\ 3 & 2 & 1\end{vmatrix}=0$
$(k+1)[2-6]-4[1-9]+6[2-6] =0$
$k=1$