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Byju's Answer
Standard XII
Mathematics
Properties of Determinants
47. Let (x-a)...
Question
47. Let (x-a)(x-b)+1=0 has root alpha and beta where a
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Similar questions
Q.
Let
a
,
b
,
c
be real and
a
x
2
+
b
x
+
c
=
0
has two real roots,
α
and
β
where
α
<
−
1
and
β
>
1
, then
1
+
c
a
+
∣
∣
∣
b
a
∣
∣
∣
<
0
is
Q.
Let
α
,
β
be the roots of
x
2
−
a
x
+
b
=
0
, where
a
&
b
∈
R
. If
α
+
3
β
=
0
, then
Q.
If
x
3
−
x
2
+
5
x
−
1
=
0
has roots
α
,
β
,
γ
and
x
3
+
a
x
2
+
b
x
+
c
=
0
has roots
α
β
,
β
γ
,
γ
α
then
(
a
+
b
+
c
)
is:
Q.
Let
a
>
b
>
0
and the quadratic equation
a
x
2
+
b
x
−
9
=
0
has roots as
α
,
β
(
α
<
β
)
.
If
a
3
+
b
3
+
27
a
b
=
729
,
then the value of
4
β
−
a
α
is
Q.
Let
a
,
b
∈
R
−
{
0
}
and
α
,
β
are the roots of
x
2
+
a
x
+
b
=
0
, then
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