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4-1.Complex numbers
easy
જો $(1 - i)x + (1 + i)y = 1 - 3i,$ તો $(x,y) = $
A
$(2, - 1)$
B
$( - 2,\,1)$
C
$( - 2, - 1)$
D
$(2, 1)$
Solution
(a) $(1 – i)x + (1 + i)y = 1 – 3i$
$ \Rightarrow $ $(x + y) + i\,( – x + y) = 1 – 3\,i$
Equating real and imaginary parts, we get $x + y = 1$and $ – x + y = – 3$; $\therefore $ $x = 2,y = – 1$.
Thus point is $(2,\, – 1)$.
Standard 11
Mathematics
