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Line and Plane — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsLine and Plane2 Marks
MCQ
In space $2 y+3 z=0$ represents
  • ✓
    a plane passing through X -axis
  • B
    a plane passing through Y -axis
  • C
    a plane passing through Z -axis
  • D
    none of these
✓

Answer

Correct option: A.
a plane passing through X -axis
(A)
The d.r.s of the normal to the plane are $0,2,3$.
The d.r.s of X axis are $1,0,0$
Now, $a_1 a_2+b_1 b_2+c_1 c_2=0(1)+2(0)+3(0)$ $=0$
$\therefore \quad$ The plane $2 y+3 z=0$ passes through X -axis.

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