Wiskunde Multiple Choice Vraag uit Gricha's Wiskundige Vragenbank

Wat is de modulus van het complexe getal a + bi 5	A. $\boldsymbol{a^2 + b^2 }$
	B. $\boldsymbol{\sqrt{\frac {a^2\,+\:b^2} {5}} }$
	C. $\boldsymbol{\frac {a\,+\,b} {5} }$
	D. $\boldsymbol{\sqrt{a^2+b^2} }$
	E. $\boldsymbol{\frac{\sqrt{a^2\,+\:b^2}}{5} }$

[ 5-1553 - op net sinds 11.11.16-(E)-7.6.2026 ]

Translation in E N G L I S H

IN CONSTRUCTION

Oplossing - Solution

$\frac{a+bi}{5}=\frac{a}{5}+\frac{b}{5}i\\ \left | \frac{a+bi}{5} \right |=\sqrt{\left ( \frac a5 \right )^2 + \left (\frac b5\right )^2} =\sqrt{\frac{a^2+b^2}{25}}=\frac{\sqrt{a^2+b^2}}{5}$

Wat is de modulus van het complexe getal a + bi 5	A. \(\boldsymbol{a^2 + b^2 }\)
	B. \(\boldsymbol{\sqrt{\frac {a^2\,+\:b^2} {5}} }\)
	C. \(\boldsymbol{\frac {a\,+\,b} {5} }\)
	D. \(\boldsymbol{\sqrt{a^2+b^2} }\)
	E. \(\boldsymbol{\frac{\sqrt{a^2\,+\:b^2}}{5} }\)