Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:
The coordinates of the point, where the line \(\frac{x-2}{-1}=\frac{y+3}{1}=\frac{z-1}{6}\) intersects the plane \(2x+y+z=7\), are
Options:
\((2,1,-7)\)
\((7,-1,2)\)
\((1,-2,7)\)
\((2,-7,1)\)
Correct Answer:
\((1,-2,7)\)
Explanation:
Assume \(\frac{x-2}{-1}=\frac{y+3}{1}=\frac{z-1}{6}=k\), Find values of \(x,y\) and \(z\) and put these values in plane.