If is a complex number satisfying , the greatest possible value of is
Answer and explanation
Correct answer: C.
- Step 1: Apply the reverse triangle inequality: . Here, .
- Step 2: Let . The inequality implies .
- Step 3: Focus on the upper bound: . The roots of are .
- Step 4: Since , the maximum achievable value is (achieved when ).
Answer
.
Why not the others: arises from mistakenly solving and neglecting the linear term .
Practise more Complex numbers.
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