Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The plane containing these two lines $\frac{x+1}{3}=\frac{y+3}{5}=\frac{z+5}{7}$ and $\frac{x-2}{1}=\frac{y-4}{4}=\frac{z-6}{7}$, is

Options:

$x - 2y + z= 0$

$x + 2y - z= 0$

$x - 2y + z= 1$

none of these

Correct Answer:

$x - 2y + z= 0$

Explanation:

The equation of the plane containing the given lines is 

$\begin{vmatrix}x+1 & y+3 & z+5\\3 & 5 & 7\\1 & 4 & 7\end{vmatrix}=0 ⇒ x- 2y + z = 0 $