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JEE Main Math Class 12 Probability Part 2 Questions
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© examsnet.com
Question : 3
Total: 95
The coefficients
a
,
b
,
c
in the quadratic equation
a
x
2
+
b
x
+
c
=
0
are chosen from the set
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
}
. The probability of this equation having repeated roots is :
[5 Apr 2024 Shift 1]
3
256
1
128
1
64
3
128
Validate
Solution:
👈: Video Solution
a
x
2
+
b
x
+
c
=
0
a
,
b
,
c
∈
{
1
,
2
,
3
,
4
,
5
,
6
,
7
,
8
}
Repeated roots
D
=
0
⇒
b
2
−
4
ac
=
0
⇒
b
2
=
4
ac
Prob
=
8
8
×
8
×
8
=
1
64
⇒
(
a
,
b
,
c
)
(
1
,
2
,
1
)
;
(
2
,
4
,
2
)
;
(
1
,
4
,
4
)
;
(
4
,
4
,
1
)
;
(
3
,
6
,
3
)
;
(
2
,
8
,
8
)
;
(
8
,
8
,
2
)
;
(
4
,
8
,
4
)
8 case
© examsnet.com
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