Question

If z = 2 -3i, express
1-2 z/Z-3
in the form A +iB where
A and B are real.​

Answer 1

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11th

Maths

Complex Numbers and Quadratic Equations

The modulus and the Conjugate of a Complex number

If w = 3 - 2i and z = - 2 ...

MATHS

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Asked on December 26, 2019 by

Yusuf Khanna

If w=3−2i and z=−2+4i, then

z

w

can be written as a+bi, which is equivalent to

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ANSWER

Given, w=3−2i and z=−2+4i

∴

z

w

=

−2+4i

3−2i

Taking conjugate, we get

=

−2+4i

3−2i

×

−2−4i

−2−4i

=

(−2)

2

−(4i)

2

−6−12i+4i+8i

2

=

4+16

−6−8i−8

=

20

−14−8i

Taking 2 as common, we get

=

10

−7−4i

z

w

=

10

−7

−

5

2i

is in the form of a+bi

Step-by-step explanation:

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