TS EAMCET · Maths · Complex Number
\(A\left(z_1=2+2 i\right), B\left(z_2\right), C\left(z_3\right)\) are three points on the Argand plane satisfying \(\left|z_k-2 i\right|=2,(k=1,2,3)\). If \(\triangle A B C\) encloses the maximum area, then the sum of the imaginary parts of \(z_2\) and \(z_3\) is
- A 1
- B 0
- C 4
- D -4
Answer & Solution
Correct Answer
(C) 4
Step-by-step Solution
Detailed explanation
According to given information \(|z-2 i|=2\) is a circle having centre is \((0,2)\) and radius is 2 . If the area of \(\triangle A B C\) is maximum the triangle must be equilateral triangle and point \(M\) is the mid point of \(B C\), where \(M\) is the foot of perpendicular of…
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