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KEAM 2016 Math Paper
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© examsnet.com
Question : 16
Total: 120
If one of the roots of the quadratic equation
a
x
2
−
b
x
+
a
=
0
is 6, then value of
b
a
is equal to
1
6
11
6
37
6
6
11
6
37
Validate
Solution:
Given equation is
a
x
2
−
b
x
+
a
=
0
.....(i)
and one root is 6 .
Let
α
and
β
are the roots of the equation
a
n
d
α
=
6
. From the equation
From the equation
α
+
β
=
b
a
⇒
6
+
β
=
b
a
.....(ii)
and
α
β
=
a
a
=
1
⇒
β
=
1
α
=
1
6
By putting
β
=
1
6
in Eq. (ii), we get
6
+
1
6
=
b
a
⇒
b
a
=
37
6
© examsnet.com
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