Let P = { z ? C : | z + 2 - 3 i | ? 1 } and Q = { z ? C : z ( 1 + i ) + z ¯ ( 1 - i ) ? - 8 } . Let in P ? Q , | z - 3 + 2 i | be maximum and minimum at z 1 and z 2 respectively. If where are integers, then equals________ .

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
Let $P = {z \in C : | z + 2 - 3 i | \leq 1}$ and

$Q = {z \in C : z (1 + i) + \bar{z} (1 - i) \leq - 8} .$

Let in $P \cap Q, | z - 3 + 2 i |$ be maximum and minimum at $z_{1}$ and $z_{2}$ respectively. If $| z_{1} |^{2} + 2 | z_{2} |^{2} = α + β \sqrt{2}$ , where $α, β$ are integers, then $α + β$ equals________ . [2024]

Ans.
(36)

Want Us to Email you About Special Offers & Updates?