Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

Distance between two parallel plane \(2x+y+2z=8\) and \(4x+2y+4z+5=0\) is

Options:

\(\frac{5}{2}\)

\(\frac{7}{2}\)

\(\frac{9}{2}\)

\(\frac{3}{2}\)

Correct Answer:

\(\frac{7}{2}\)

Explanation:

\(2x+y+2z=8\)

\(2x+y+2z=-\frac{5}{2}\)

$D=\frac{|d_2-d_1|}{\sqrt{a^2+b^2+c^2}}$

$=\frac{\left|8+\frac{5}{2}\right|}{\sqrt{9}}=\frac{21}{6}=\frac{7}{2}$