JEE Advanced 2010Paper 2
- Exam
- JEE Advanced
- Year
- 2010
- Paper
- Paper 2
- Subject
- Mathematics
- Chapter
- Complex Number
JEE Advanced 2010 · Paper 2 · Mathematics · Complex Number
Match the statements of Column I with these in Column II. [Note :...
Match the statements of Column I with these in Column II.
[Note : Here takes values in the complex plane and and denote respectively, the imaginary part and the real part of ]

Options
- A(A) q, (B) p, (C) p,s, (D) q,r,s
- B(A) q,r, (B) p, (C) p,s,t, (D) q,r,s,t
- C(A) q, (B) q, (C) p,s,t, (D) q,r,s,t
- D(A) q,r, (B) q, (C) p,s, (D) q,r,s
Correct answer
B. (A) q,r, (B) p, (C) p,s,t, (D) q,r,s,t
Step-by-step solution
(A) is equidistant from the points and , whose perpendicular bisector is .
(B) Sum of distance of from and is a constant 10 , hence locus of is ellipse with semi-major axis 5 and focus at .
\therefore \quad e=C)
(D)
\therefore \quad \operatorname{Re}(z) \leq|z| \leq 2