NCERT Class 11-Math's: Chapter –5 Complex Numbers and Quadratic Equations Part 13
Get top class preparation for NSTSE Class-5 right from your home: Get full length tests using official NTA interface: all topics with exact weightage, real exam experience, detailed analytics, comparison and rankings, & questions with full solutions.
Question 27:
Match the statements of Column A and Column 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)