Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

By using equations of the line $\frac{x+1}{2}=\frac{y}{3}=\frac{z-3}{6}$ and the plane $10 x+2 y-11 z-3=0$, answer the following questions.

Distance of plane 10x + 2y – 11z – 3 = 0, from the origin is:

Options:

1

$\frac{1}{10}$

$\frac{1}{15}$

$\frac{1}{5}$

Correct Answer:

$\frac{1}{5}$

Explanation:

O(0, 0, 0)

Distance = $\frac{|10 \times 0+2 \times 0-11 \times 0-3|}{\sqrt{10^2+2^2+(-11)^2}}=\frac{3}{15}=\frac{1}{5}$

Option: D