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BITSAT2024MathematicsComplex NumberActual

The 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, 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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