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Byju's Answer
Standard X
Mathematics
Relationship Between Zeroes and Coefficients of a Quadratic Polynomial
If α, β are...
Question
If
α
,
β
are the zeros of
f
(
x
)
=
2
x
2
+
6
x
−
6
, then
A
α
+
β
=
α
β
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B
α
+
β
>
α
β
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C
α
+
β
<
α
β
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D
α
+
β
+
α
β
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Solution
The correct option is
A
α
+
β
=
α
β
Here,
f
(
x
)
=
2
x
2
+
6
x
−
6
(
α
+
β
)
=
−
b
a
=
−
6
2
=
−
3
α
β
=
c
a
=
−
6
2
=
−
3
Thus,
α
+
β
=
α
β
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0
Similar questions
Q.
If α,β are zeros of x²-(k-6)x+(2x+1) . Find k if α+β=αβ
Q.
lf
α
,
β
are the roots of
x
2
−
p
x
+
q
=
0
, then the equation whose roots are
α
β
+
α
+
β
,
α
β
−
α
−
β
, is:
Q.
If
α
,
β
are the zeroes of
f
(
x
)
=
p
x
2
−
2
x
+
3
p
and
α
+
β
=
α
β
,
then the value of
p
is :
Q.
If
α
,
β
are zeroes of the polynomial
2
x
2
+
4
x
+
1
, then find the value of
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+
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.
Q.
Assertion :If
α
,
β
,
γ
are the zeroes of
x
3
−
2
x
2
+
q
x
−
r
and
α
+
β
=
0
, then
2
q
=
r
Reason: If
α
,
β
,
γ
are the zeroes of
a
x
3
+
b
x
2
+
c
x
+
d
, then
α
+
β
+
γ
=
−
b
a
,
α
β
+
β
γ
+
γ
α
=
c
a
,
α
β
,
γ
=
−
d
a
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