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Byju's Answer
Standard XII
Mathematics
nCr Definitions and Properties
If a and ...
Question
If
a
and
b
are the roots of the equation
y
=
1
3
x
2
−
2
x
+
3
, then find
|
a
−
b
|
.
A
0
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B
1
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C
2
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D
3
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Solution
The correct option is
A
0
(
x
2
−
6
x
+
9
3
)
=
(
x
−
3
)
2
3
Hence
x
=
9
Therefore
a
=
b
=
9
Therefore
|
a
−
b
|
=
|
9
−
9
|
=
0
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0
Similar questions
Q.
If
a
,
b
and
c
are the roots of the equation
x
3
+
2
x
2
+
1
=
0
, find
∣
∣ ∣
∣
a
b
c
b
c
a
c
a
b
∣
∣ ∣
∣
Q.
If
α
and
β
are roots of the equation
a
x
2
+
b
x
+
c
=
0
, then the roots of the equation
a
(
2
x
+
1
)
2
−
b
(
2
x
+
1
)
(
3
−
x
)
+
c
(
3
−
x
)
2
=
0
are
Q.
Roots of the equation
2
x
3
x
2
−
x
+
2
−
7
x
3
x
2
+
5
x
+
2
=
1
are
−
a
−
√
b
c
and
−
a
−
√
b
c
Find
b
−
a
−
c
Q.
If
tan
A
,
tan
B
are the roots the quadratic equation
√
3
x
2
−
2
x
−
√
3
=
0
,
0
<
A
+
B
<
π
, then
A
+
B
is equal to
Q.
Assertion :If the equation
a
x
2
+
b
x
+
c
=
0
,
(
a
,
b
,
c
∈
R
,
a
≠
0
)
and
x
2
+
2
x
+
3
=
0
have a common root , then
a
:
b
:
c
is
1
:
2
:
3
. Reason: The roots of the equation
x
2
+
2
x
+
3
=
0
are imaginary.
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