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Byju's Answer
Standard XIII
Mathematics
Common Roots
If one root o...
Question
If one root of equation
4
x
2
−
2
x
+
k
−
4
=
0
is reciprocal of the other. The value of k is:
A
8
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B
-4
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C
4
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D
-8
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Solution
The correct option is
A
8
Explanation : If one root is reciprocal of thers, then the product of roots will be:
α
×
1
α
=
(
k
−
4
)
4
k
−
4
=
4
k
=
8
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If one root of the equation 4x
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