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Byju's Answer
Standard XII
Physics
Introduction
If α ,β be th...
Question
If
α
,
β
be the roots of
x
2
−
a
(
x
−
1
)
+
b
=
0
,
then the value of
1
α
2
−
a
α
+
1
β
2
−
a
β
+
2
a
+
b
i
s
A
0
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B
2
a
+
b
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C
4
a
+
b
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D
1
a
+
b
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Solution
The correct option is
A
0
From given equation,
α
+
β
=
a
,
α
β
=
a
+
b
Now,
1
α
2
−
a
α
+
1
β
2
−
a
β
=
1
α
(
α
−
a
)
+
1
β
(
β
−
a
)
=
−
1
α
β
−
1
α
β
=
−
2
α
β
=
−
2
(
a
+
b
)
Hence,
2
α
2
−
a
α
+
1
β
2
−
a
β
+
2
a
+
b
=
0
Suggest Corrections
0
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