JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy

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Application +4 | -1

\left| {\frac{1}{2}\left( {{z_1} + {z_2}} \right) + \sqrt {{z_1}{z_2}} } \right| + \left| {\frac{1}{2}\left( {{z_1} + {z_2}} \right) - \sqrt {{z_1}{z_2}} } \right|

is equal to

View answer and explanation

Correct option: C

\left| {{z_1}} \right| + \left| {{z_2}} \right|

Option C (

\left| {{{{z_1}}}} \right| + \left| {{{{z_2}}}} \right|

) is correct because it is the simplified form of the given expression using properties of complex numbers and their magnitudes.

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