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Byju's Answer
Standard XI
Mathematics
Selecting Consecutive Terms in A.P
If one root o...
Question
If one root of the equation
x
2
+
(
1
−
3
i
)
x
−
2
(
1
+
i
)
=
0
is
−
1
+
i
,
then the other root is
A
−
1
−
i
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B
−
1
−
i
2
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C
i
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D
2
i
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Solution
The correct option is
D
2
i
x
2
+
(
1
−
3
i
)
x
−
2
(
1
+
i
)
=
0
One root
=
−
1
+
i
Sum of roots
=
3
i
−
1
2
n
d
root
=
x
−
1
+
i
+
x
=
3
i
−
1
x
=
3
i
−
1
+
1
−
i
x
=
2
i
∴
other root
=
2
i
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