(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
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)