Equation of a plane passing through point (1,-1,2) and making equ… - Vidyadip

MCQ

Equation of a plane passing through point (1,-1,2) and making equal intercepts on co-ordinate axes is

A
$x+y+ z =1$
B
$x-y+2 z=6$
✓
$x+y+z=2$
D
$x+y+2 z=6$

✓

Answer

Correct option: C.

$x+y+z=2$

(C)
Equation of plane in intercept form is
$\frac{x}{ a }+\frac{y}{b}+\frac{ z }{ c }=1$
Here, $a = b = c$ and point $(1,-1,2)$ lies in the plane,
$\therefore \quad \frac{1}{a}+\frac{-1}{a}+\frac{2}{a}=1 \Rightarrow a=2$
$\therefore \quad$ the required equation of a plane is $x+y+z=2$.

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