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Standard X
Mathematics
Relationship between Zeroes and Coefficients of a Polynomial
If α and β ar...
Question
If
α
and
β
are the zeros of a quadratic polynomial
x
2
−
14
x
+
7
, the value of
1
α
+
1
β
is _____.
2
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Solution
The correct option is
A
2
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Similar questions
Q.
If
α
and
β
are the zeros of the quadratic polynomial
f
(
x
)
=
x
2
−
1
, find a quadratic polynomial whose zeros are
2
α
β
and
2
β
α
.
Q.
If
α
and
β
are the zeros of the quadratic polynomial
f
(
x
)
=
x
2
−
2
x
+
3
, find a polynomial whose roots are
(i)
α
+
2
,
β
+
2
(ii)
α
−
1
α
+
1
,
β
−
1
β
+
1
.
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