NCERT Class 11-Math's: Chapter –5 Complex Numbers and Quadratic Equations Part 13

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Question 27:

Match the statements of Column A and Column B.

Match the Statement Column A and B

Column A

Column B

(a)

The polar form of is

(i)

Perpendicular bisector of segment

joining and

(b)

The amplitude of is

(ii)

On or outside the circle having centre

at and radius 3.

(c)

If , then locus of z is

(iii)

(d)

If then

(iv)

Perpendicular bisector of segment joining and .

(e)

Region represented by is

(v)

(f)

Region represented by is

(vi)

On or inside the circle having centre

and radius units.

(g)

Conjugate of lies in

(vii)

First quadrant

(h)

Reciprocal of lies in

(viii)

Third quadrant

Answer:

(a) ↔ (v)

(b) ↔ (iii)

(c) ↔ (i)

(d) ↔ (iv)

(e) ↔ (ii)

(f) ↔ (vi),

(g) ↔ (viii)

(h) ↔ (vii)

Question 28:

What is the conjugate of ?

Answer:

Question 29:

If , is it necessary that ?

Answer:

No

Question 30:

If , what is the value of ?

Answer:

Question 31:

Find if and .

Answer:

Question 32:

Find

Answer: (1)

Question 33:

Find principal argument of .

Answer:

Question 34:

Where does z lie, if .

Answer:

Real axis

Choose the Correct Answer from the Given Four Options Indicated Against Each of the Exercises from 35 to 50 (M.C.Q)

Question 35:

and are conjugate to each other for:

(A)

(B)

(C)

(D) No value of

Answer: (D)

Question 36:

The real value of for which the expression is purely real is:

(A)

(B)

(C)

(D) None of these, where

Answer: (C)