The equation of plane which cuts equal i

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Three-dimensional Geometry

Question:

The equation of plane which cuts equal intercepts of unit length on the coordinate axes is:

Options:

$x+y+z=3$

$x+y-z=1$

$x+y+z=1$

$x+y+z=0$

Correct Answer:

$x+y+z=1$

Explanation:

The correct answer is Option (3) - $x+y+z=1$

Let intercepts be a, b, c (on x, y, z axis respectively)

$a= b= c=1$

so equation → $\frac{x}{a}+\frac{y}{b}+\frac{z}{c}=1$

so $x+y+z=1$