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Standard XII
Mathematics
Nature of Roots
41 If the roo...
Question
41 If the roots of the equation X2+2px+mm=0 are real and unequal,show that the equation x2-2(m+n)x+M2+n2+2p2=0 has no real roots
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Similar questions
Q.
Show that the equation
x
2
-
x
+
2
=
0
has no real roots.
Q.
Find the value of p for which the quadratic equation
x
2
-
2
p
x
+
1
=
0
has no real roots.
Q.
Equation
x
2
+
2
a
x
−
b
2
=
0
has real roots
α
,
β
and equation
x
2
+
2
p
x
−
q
2
=
0
has real roots. If circle
C
is drawn with the point
(
α
,
γ
)
,
(
β
,
δ
)
as extermities of a diameter the equation of
C
Q.
lf the roots of the equation
x
2
−
2
c
x
+
a
b
=
0
be real and unequal, the roots of the equation
x
2
−
2
(
a
+
b
)
x
+
(
a
2
+
b
2
+
2
c
2
)
=
0
are
Q.
If the equation
a
x
2
+
2
b
x
+
c
=
0
has real roots,
a
,
b
,
c
being real numbers and if
m
and
n
are real number such that
m
2
>
n
>
0
then show that the equation
a
x
2
+
2
m
b
x
+
n
c
=
0
has real roots.
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