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Standard XII
Mathematics
Implication
3. The set of...
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3. The set of all real values of p for which the equation x+1=underoot px has exactly one root is
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Q.
Find the set of values of
p
for which the equation
p
x
2
−
5
x
+
p
=
0
has real and equal roots.
Q.
Prove that the equation
x
2
+
p
x
−
1
=
0
has real and distinct roots for all real values of
p
.
Q.
Find the set of values of
′
p
′
for which the quadratic equation,
(
p
−
5
)
x
2
−
2
p
x
−
4
p
=
0
has real roots.
Q.
If the equation
(
x
1
+
x
2
)
2
+
a
(
x
1
+
x
2
)
+
3
=
0
has exactly two real roots which are distinct , then the set of all possible real values of
a
is
(
−
∞
,
−
λ
)
∪
(
μ
,
∞
)
then
λ
+
μ
13
is equal to:
Q.
The set of all real values of
λ
for which the quadratic equation,
(
λ
2
+
1
)
x
2
−
4
λ
x
+
2
=
0
always have exactly one root in the interval
(
0
,
1
)
is:
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