Mathematics - Complex Number Question with Solution | TestHub

MathematicsComplex NumberGeometric ApplicationMedium2 min

MathematicsMediumsingle choice

If $∣ Z + 2 - i ∣ = 5$ then maximum value of $∣3 Z + 9 - 7 i ∣ =$ $____$

Answer:

Solution:

$∣3 Z + 9 - 7 i ∣ = ∣3 Z + 6 - 3 i + 3 - 4 i ∣$

$\leq ∣3 (z + 2 - i) + ∣ = ∣3 - 4 i ∣ \leq 3∣ z + 2 - i ∣ + 3^{2} + 4^{2} 3 (5) + 5 = 20$

Stream:JEESubject:MathematicsTopic:Complex NumberSubtopic:Geometric Application

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