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JEE Mains · Maths · STD 11 - 4.1 complex nubers
If \(\left| {z - 3 + 2i} \right| \leq 4\) then the difference between the greatest value and the least value of \(\left| z \right|\) is
- A \(\sqrt {13}\)
- B \(2\sqrt {13}\)
- C \(8\)
- D \(4 + \sqrt {13}\)
Answer & Solution
Correct Answer
(B) \(2\sqrt {13}\)
Step-by-step Solution
Detailed explanation
given equation represents the circle with center (3,-2) and is of radius \(( R )=4\) \(| z |\) represents the distance of point 'z' from origin Greatest and least distances occur along the normal through the origin Normal always passes through center of circle From figure; let…
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