If z₁, z₂ are any two complex numbers, then |{z₁} + √ {z₁^2 - z₂^2} | + |{z₁} -

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4-1.Complex numbers

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If $z_1, z_2 $ are any two complex numbers, then $|{z_1} + \sqrt {z_1^2 - z_2^2} |$ $ + |{z_1} - \sqrt {z_1^2 - z_2^2} |$ is equal to

A

$|{z_1}|$

B

$|{z_2}|$

C

$|{z_1} + {z_2}|$

D

$|{z_1} + {z_2}| + |{z_1} - {z_2}|$

Solution

(d)Trick : Check by putting ${z_1} = 1 + 0i$and ${z_2} = 0 + i$
.

Standard 11

Mathematics

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