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BITSAT Mathematics Complex Number 2024 BITSAT 2024 (Memory Based Paper 3)

BITSAT Mathematics Question (2024) — Solution

Question

The points represented by the complex number 1+i,-2+3 i, 5 3 i on the argand plane are

Options

  1. A. Vertices of an equilateral triangle
  2. B. Vertical of an isosceles triangle
  3. C. Collinear
  4. D. None of the above

Answer

C. Collinear

Step-by-step solution

According to question, Let find slope of A B, B C and C A Slope of A B= 1-3 1-(-2) = -2 3 Slope of B C= 3- ( 5 3 ) -2-0 = -2 3 Slope of C A= 5 3 -1 0-1 = -2 3 Since, slope of all lines are same, therefore, points are collinear.

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