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

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

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MathematicsComplex NumberGeometric ApplicationEasy2 minPYQ_2024

MathematicsEasysingle choice

The points represented by the complex number $1 + i, - 2 + 3 i, \frac{5}{3} i$ on the argand plane are

Question diagram: The points represented by the complex number 1 + i , − 2 + 3

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Solution:

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

Subject:MathematicsTopic:Complex NumberSubtopic:Geometric Application

⏱ 2mℹ️ Source: PYQ_2024

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