- Home
- Standard 11
- Mathematics
4-1.Complex numbers
easy
જો વાસ્તવિક સંખ્યાઓ $x$ તથા $y$ માટે $4 x+i(3 x-y)=3+i(-6),$ તો $x$ અને $y$ ની કિંમત શોધો.
A
$x=\frac{3}{4}$,$y=\frac{33}{4}$
B
$x=\frac{3}{4}$,$y=\frac{33}{4}$
C
$x=\frac{3}{4}$,$y=\frac{33}{4}$
D
$x=\frac{3}{4}$,$y=\frac{33}{4}$
Solution
We have
$4 x+i(3 x-y)=3+i(-6)$…..$(1)$
Equating the real and the imaginary parts of $(1)$, we get
$4 x=3,3 x-y=-6$
which, on solving simultaneously, give $x=\frac{3}{4}$ and $y=\frac{33}{4}$
Standard 11
Mathematics
