question_answer

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

A) \[x+y-z+1=0\] 

B) (b)\[x+y+z=1\]

C) \[~x+y+z+1=0\]   

D) \[x-y-z=1\]

Correct Answer: B

Solution :

[b] Here, \[a=b=c=1\] \[\therefore \]Equation of plane be \[\frac{x}{a}\text{+}\frac{y}{b}\text{+}\frac{z}{c}\text{=1 }\] \[x+y+z=1\]