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Q.

In the Argand plane, the points represented by the complex numbers _{$2 - 6 i, 4 - 7 i, 3 - 5 i$} and _{$1 - 4 i$} form

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a

rhombus

b

rectangle

c

parallelogram

d

square

answer is C.

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Detailed Solution

Let $A (2, - 6)$

$B (4, - 7)$

$C (3, - 5)$

$D (1, - 4)$

$A B = B C = C D = D A = \sqrt{5}$

$A C = \sqrt{2}, B D = \sqrt{18}$ so AC $\neq$ BD

$∴$ ABCD is a Rhombus

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