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4.1 complex nubers — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHS4.1 complex nubers1 Mark
MCQ
A rectangle is constructed in the complex plane with its sides parallel to the axes and its centre is situated at the origin. If one of the vertices of the rectangle is $a + ib\sqrt 3 $, then the area of the rectangle is
  • A
    $ab\sqrt 3 $
  • B
    $2ab\sqrt 3 $
  • C
    $3ab\sqrt 3 $
  • ✓
    $4ab\sqrt 3 $
✓

Answer

Correct option: D.
$4ab\sqrt 3 $
d
(d) Area of required rectangle $= 4×$area of $OABC$
$ = 4 \times a \times b\sqrt 3 = 4ab\sqrt 3 $.

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