Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The angle between the planes \(2x+y+z=7\) and \(x-y+2z=9\) is

Options:

\(120^{\circ}\)

\(60^{\circ}\)

\(30^{\circ}\)

\(90^{\circ}\)

Correct Answer:

\(60^{\circ}\)

Explanation:

\(\cos \theta=\left|\frac{A_{1}A_{2}+B_{1}B_{2}+C_{1}C_{2}}{\sqrt{A_{1}^2+B_{1}^{2}+C_{1}^{2}}\sqrt{A_{2}^{2}+B_{2}^{2}+C_{2}^{2}}}\right|\)