# CBSE Class 11 – Mathematics: Complex Numbers: Exercise – 1

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**Question 1:**

Express the given complex number in the form

**Question 2:**

Express the given complex number in the form

**Question 3:**

Express the given complex number in the form

**Question 4:**

Express the given complex number in the form

**Question 5:**

Express the given complex number in the form

**Question 6:**

Express the given complex number in the form :

**Question 7:**

Express the given complex number in the form

**Question 8**

Express the given complex number in the form

**Question 9:**

Express the given complex number in the form

**Question 10**

Express the given complex number in the form

**Question 11:**

Find the multiplicative inverse of the complex number .

**Question 12:**

Find the multiplicative inverse of the complex number

**Question 13**

Find the multiplicative inverse of the complex number

**Question 14**

Express the following expression in the form of .

**Solution 1**

Multiplying

Now we know that

So

**Solution 2:**

Now so and

**Solution 3:**

**Solution 4:**

Now

So

**Solution 5:**

**Solution 6:**

**Solution 7:**

Opening the bracket

**Solution 8:**

**Can be written as**

**Solution 9:**

**Solution 10:**

**Solution 11:**

Let

Conjugate is given by

Modulus is given by

Multiple inverse of any complex number z is given by

**Solution 12:**

Let

Conjugate is given by

Modulus is given by

Multiple inverse of any complex number is given by

**Solution 13:**

Let

Conjugate is given by

Modulus is given by

Multiple inverse of any complex number z is given by

**Solution 14:**