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Byju's Answer
Standard XII
Mathematics
Derivative of Standard Functions
If x∧ 2+2 a x...
Question
If x^2+2ax+a<0
for all x belongs to [1,2] then find set of all possible value of a.
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Q.
If all the real numbers
x
1
,
x
2
,
x
3
, satisfying the equation
x
3
−
x
2
+
β
x
+
γ
=
0
are in A.P.
Then, all possible values of
γ
belongs to
Q.
If all the real numbers
x
1
,
x
2
,
x
3
, satisfying the equation
x
3
−
x
2
+
β
x
+
γ
=
0
are in A.P.
Then,all possible values of
β
belong to
Q.
The set of all values of
′
x
which satisfies the inequation
∣
∣
∣
1
−
|
x
|
1
+
|
x
|
∣
∣
∣
≥
1
2
belongs to
Q.
If
A
=
{
(
x
,
y
)
∣
x
2
+
y
2
≤
4
}
and
B
=
{
(
x
,
y
)
∣
(
x
−
3
)
2
+
y
2
≤
4
}
and the point
P
(
a
,
a
−
1
2
)
belongs to the set
B
−
A
, then the set of possible real values of
a
is:
Q.
Find all values of
a
for which the inequality
(
a
−
3
)
x
2
−
2
a
x
+
3
a
−
6
<
0
is satisfied for all values of
x
.
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