Question

if z1 = 3+i and z2 = 1+4i , then | z1+ z2| is less than
a 6.38
b 6.10
c 5.40
d 7.40​

Answer 1

SOLUTION

TO CHOOSE THE CORRECT OPTION

If z₁ = 3 + i and z₂ = 1 + 4i , then | z₁ + z₂| is less than

a) 6.38

b) 6.10

c) 5.40

d) 7.40

EVALUATION

Here it is given that

z₁ = 3 + i and z₂ = 1 + 4i

Now we have

$\sf |z_1 +z_2 |$

$\sf = | (3 + i) + (1 + 4i)|$

$\sf = | 4 + 5i|$

$\sf = \sqrt{ {4}^{2} + {5}^{2} }$

$\sf = \sqrt{16 + 25}$

$\sf = \sqrt{41}$

$\sf = 6.403$

Which is less than 7.40

FINAL ANSWER

Hence the correct option is d) 7.40

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