Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The intercepts of the plane $5x - 3y + 6z - 60 = 0 $ on the coordinate axes are:

Options:

$10, 20, -10$

$10, -20, 12$

$12, -20, 10$

$12, 20, -10$

Correct Answer:

$12, -20, 10$

Explanation:

The equation of the plane is 

$5x - 3y + 6z - 60 = 0 $

$⇒ 5x - 3y + 6z =60 ⇒ \frac{x}{12}+\frac{y}{-20}+\frac{z}{10}= 1$

Hence, the intercepts are $12, -20, 10.$