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Line and Plane — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsLine and Plane2 Marks
MCQ
Distance of plane $x+y+z=3$ from origin is
  • A
    $3$
  • ✓
    $\sqrt{3}$
  • C
    $\frac{1}{\sqrt{3}}$
  • D
    $\frac{1}{3}$
✓

Answer

Correct option: B.
$\sqrt{3}$
(B)
Here, $a =1, b=1, c =1, d=-3$ and $x=y= z =0$
$\therefore \quad d=\left|\frac{-3}{\sqrt{1^2+1^2+1^2}}\right|=\sqrt{3}$

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