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Byju's Answer
Standard XII
Mathematics
Roots of a Quadratic Equation
If the sum of...
Question
If the sum of coefficient of ax^2+bx+c=0 is zero (ie. a+b+c=0) then the roots of the equation are: (a) 1 & b/a (b) 1 & c/a (c) 0 & c/a (d) -1
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Similar questions
Q.
If both the roots of the quadratic equation
a
x
2
+
b
x
+
c
=
0
are zero, then
Q.
If a + b + c = 0, a,b,c
ϵ
Q, then the roots of the equation
(
b
+
c
−
a
)
x
2
+
(
c
+
a
−
b
)
x
+
(
a
+
b
−
c
)
=
0
are :
Q.
Assertion :If
a
+
b
+
c
=
0
and
a
,
b
,
c
are rational, then the roots of the equation
(
b
+
c
−
a
)
x
2
+
(
c
+
a
−
b
)
x
+
(
a
+
b
−
c
)
=
0
are rational . Reason: Discriminant of
(
b
+
c
−
a
)
x
2
+
(
c
+
a
−
b
)
x
+
(
a
+
b
−
c
)
=
0
is a perfect square .
Q.
If
a
,
b
,
c
are distinct non-zero rational numbers such that
a
+
b
+
c
=
0
, then both the roots of the equation
(
b
+
c
−
a
)
x
2
+
(
c
+
a
−
b
)
x
+
(
a
+
b
−
c
)
=
0
are
Q.
If
a
+
b
+
c
=
0
and
a
,
b
,
c
are rational, then the roots of the equation
(
b
+
c
−
a
)
x
2
+
(
c
+
a
−
b
)
x
+
(
a
+
b
−
c
)
=
0
are
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