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Byju's Answer
Standard XII
Mathematics
Composite Function
The complete ...
Question
The complete set of values of ‘k’ for which both roots of the equation x2 + 3kx + (k – 1) = 0 are less than or equal to 1 is Options: (0, ∞) Should have chosen [0, ∞) Wrong (–∞, 0)
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Q.
The set of values of
k
for which roots of the quadratic equation
−
x
2
−
2
(
k
−
1
)
x
−
(
k
+
5
)
=
0
are less than \(1)\ is
Q.
The range of
k
for which both the roots of the quadratic equation
(
k
+
1
)
x
2
−
3
k
x
+
4
k
=
0
are greater than
1
, is
Q.
The set of values of k for which the given quadratic equation has real roots
4
x
2
- 3kx + 1 = 0 is
k
≤
−
4
3
or k
≥
4
3
Q.
If equations
x
2
−
3
x
+
4
=
0
and
4
x
2
−
2
[
3
a
+
b
]
x
+
b
=
0
(
a
,
b
∈
R
)
have a common root, then the complete set of values of
a
is
(
Here,
[
K
]
denotes the greatest integer less than or equal to
K
.
)
Q.
The complete set of values of
k
, for which the quadratic equation
x
2
−
k
x
+
k
+
2
=
0
has equal roots, consists of:
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