# NCERT Class 11-Math՚s: Chapter – 5 Complex Numbers and Quadratic Equations Part 14 (For CBSE, ICSE, IAS, NET, NRA 2023)

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**Question 37**:

If lies in the third quadrant, then also lies in the third quadrant if

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 38**:

The value of is equivalent to

(A)

(B)

(C)

(D) None of these

**Answer: (A)**

**Question 39**:

If , then

(A)

(B)

(C)

(D) , where

**Answer: (B)**

**Question 40**:

A real value of satisfies the equation if

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 41**:

Which of the following is correct for any two complex numbers and ?

(A)

(B)

(C)

(D)

**Answer: (A)**

**Question 42**:

The point represented by the complex number is rotated about origin through an angle in the clockwise direction, the new position of point is:

(A)

(B)

(C)

(D)

**Answer: (B)**

**Question 43**:

Let , then is a non-real complex number if:

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 44**:

If , then

(A)

(B)

(C)

(D)

**Answer: (D)**

**Question 45**:

The complex number which satisfies the condition lies on

(A) Circle

(B) The

(C) The

(D) The line .

**Answer: (B)**

**Question 46**:

If is a complex number, then

(A)

(B)

(C)

(D)

**Answer: (B)**