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Byju's Answer
Standard IX
History
Russia and the First World War
If α & β are ...
Question
If
α
&
β
are the zeros of
6
x
2
−
x
−
2
, then
α
β
+
β
α
=
?
A
25
24
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B
−
25
12
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C
−
12
25
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D
24
25
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Solution
The correct option is
B
−
25
12
Sum of zeros (
α
+
β
) =
1
6
Product of zeros
α
β
=
−
1
3
α
β
+
β
α
=
α
2
+
β
2
α
β
=
(
α
+
β
)
2
−
2
αβ
αβ
α
β
+
β
α
=
(
1
6
)
2
−
2
(
−
1
3
)
−
1
3
=
1
36
+
2
3
−
1
3
=
25
36
−
1
3
=
−
25
12
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0
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Q.
If α, β are the zeros of f (x) = 2x
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