Question

The equation of a plane passing through the point $A(2,-3,7)$ and making equal intercepts on the axes, is?

• A. $x+y+z=3$
• B. $x+y+z=6$
• C. $x+y+z=9$
• D. $x+y+z=4$

Answer 1

Answer: (B)

$x+y+z=6$

Let the required equation of the plane be $\frac{x}{a}+\frac{y}{a}+\frac{z}{a}=1$, i.e., $x+y+z=a$

Since, it passes through the point $A(2,-3,7)$, we have $2+(-3)+7=a$

$\Rightarrow a=6$

Hence, the required equation of the plane is $x+y+z=6$.