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Question

If z = a + ib where a and b are less than zero. Conjugate of z lies on which quadrant in Argand plane.


A

I

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B

II

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C

III

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D

IV

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Solution

The correct option is B

II


z = a + ib (-, -)

Where a < 0, b < 0

z will lie in third quadrant.

So, conjugate of z = a - ib (-, +)

Since, a and b are less than zero. Negative of 'b' becomes positive.

In conjugate of z (-, +) a<0 and b>0

conjugate of z lies in II quadrant.


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