Question

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Answer 1

Answer:

I think option a

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Answer 2

Answer:

If $Z_{1} = 1+i , Z_{2} = 2-3i$ then find inverse of $Z_{1} Z_{2}$

Step-by-step explanation:

If we have complex number z = a + ib

Then inverse of z = a-ib

In question given is,

$Z_{1} = 1+i , Z_{2} = 2-3i$

First of all we need to multiply both complex number,

$Z_{1} Z_{2}$ = (1 + i)(2-3i)

= 2 + 2i + 3 - 3i

= 5-i

∵ $i = \sqrt{-1}$

So,

$i^{2} = -1$

Now we need to inverse of this complex number,

= 5 + i

Final answer

inverse of $Z_{1} Z_{2}$ = 5 + i