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KEAM 2016 Math Paper
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© examsnet.com
Question : 15
Total: 120
If
α
and
α
2
are the roots of the equation
x
2
+
6
x
+
c
=
0
, then the positive value of c is
2
3
4
9
8
Validate
Solution:
Given equation is
x
2
−
6
x
+
c
=
0
Roots of the equation are
α
and
α
2
.
∴
α
+
α
2
=
6
and
α
⋅
α
2
=
c
⇒
α
3
=
c
From Eq. (i), we have
α
+
α
2
−
6
=
0
⇒
α
2
+
α
−
6
=
0
⇒
(
α
+
3
)
(
α
−
2
)
=
0
⇒
α
=
−
3
,
2
∵
Value of
c
is positive.
∴
α
=
2
and
c
=
(
2
)
3
=
8
© examsnet.com
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