In the Argand plane, the points represented by the complex numbers 2−6i, 4−7i, 3−5i and 1−4i form

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parallelogram

rectangle

rhombus

square

answer is C.

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Detailed Solution

Let A(2,−6) B(4,−7)C(3,−5)D(1,−4)AB=BC=CD=DA=5AC=2,BD=18 so AC≠BD∴ ABCD is a Rhombus

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