Question

find r is equal to mod z and theta if z is equal to minus one plus I root three find r and theta ​

Answer 1

Answer:

Solution

Correct option is D)

Consider the following question.

Z=

1+

3i

​

1−

3

​

i

​

=

(1+

3i

​

)

(1−

3

​

i)

​

×

(1−

3

​

i)

(1−

3

​

i)

​

=

1+3

(1−

3

​

i)

2

​

=

4

1+3i

2

−2

3

​

​

=

4

1−3−2

3

​

​

=

2

−1−i

3

​

​

=−

2

1

​

−i

2

3

​

​

arg(−

2

1

​

−i

2

3

​

​

)=−π+

3

π

​

=

3

2π

​

Hence, this is the required answer.

Step-by-step explanation: