NCERT Class 11-Math's: Chapter –5 Complex Numbers and Quadratic Equations Part 8

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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.

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