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BITSAT 2024
Exam
BITSAT
Year
2024
Subject
Mathematics
Chapter
Complex Number

BITSAT 2024 · Mathematics · Complex Number

The points represented by the complex number 1+i,-2+3 i, (5)/(3) i...

The points represented by the complex number 1+i,−2+3i,53i1+i,-2+3 i, \frac{5}{3} i on the argand plane areThe points represented by the complex number 1+i,-2+3 i, (5)/(3) i on the argand plane are

Options

  1. AVertices of an equilateral triangle
  2. BVertical of an isosceles triangle
  3. CCollinear
  4. DNone of the above

Correct answer

C. Collinear

Step-by-step solution

According to question, The points represented by the complex number 1+i,-2+3 i, (5)/(3) i on the argand plane are Let find slope of AB,BCA B, B C and CAC A Slope of AB=1−31−(−2)=−23A B=\frac{1-3}{1-(-2)}=\frac{-2}{3} Slope of BC=3−(53)−2−0=−23B C=\frac{3-\left(\frac{5}{3}\right)}{-2-0}=\frac{-2}{3} Slope of CA=53−10−1=−23C A=\frac{\frac{5}{3}-1}{0-1}=\frac{-2}{3} Since, slope of all lines are same, therefore, points are collinear.
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