# NCERT Class 11-Math՚S: Chapter – 5 Complex Numbers and Quadratic Equations Part 8 (For CBSE, ICSE, IAS, NET, NRA 2022)

Get top class preparation for NCO Class-5 right from your home: fully solved questions with step-by-step explanation- practice your way to success.

**Question 32**:

Number of solutions of the equation is

(A) 1

(B) 2

(C) 3

(D) Infinitely many

**Answer: (D)**

Therefore,

So can have any real value. Hence infinitely many solutions.

**Question 33**:

The amplitude of is

(A)

(B)

(C)

(D)

**Answer: (D)**

Here and

Therefore,

**5.3 EXERCISE**

## Short Answer Type

**Question 1**:

For a positive integer , find the value of

**Answer**:

**Question 2**:

**Answer**:

**Question 3**:

If then find .

**Answer**:

**Question 4**:

If , then find the value of .

**Answer**:

**Question 5**:

If then find .

**Answer**:

**Question 6**:

If , find the value of .

**Answer**:

**Question 7**:

If , then show that .

**Answer**:

Given

Rationalizing the denominator,

Hence proved.