NCERT Class 11-Math՚s: Chapter – 5 Complex Numbers and Quadratic Equations Part 11 (For CBSE, ICSE, IAS, NET, NRA 2023)

Get top class preparation for CBSE/Class-9 right from your home: get questions, notes, tests, video lectures and more- for all subjects of CBSE/Class-9.

Question 20:

If for complex numbers , , then show that

Answer:

Let

Given

Now,

We know that

Hence proved.

Question 21:

Solve the system of equations .

Answer:

Given

Let

Then

Given

Also,

Now,

Solving (1) and (2) , we get

Hence, we have four complex numbers.

Question 22:

Find the complex number satisfying the equation

Answer:

Given equation

Putting we get

Comparing real and imaginary parts to zero, we get

And

Putting into , we get

Question 23:

Write the complex number in polar form.

Answer:

Given