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Byju's Answer
Standard XII
Mathematics
Combination
Determine pos...
Question
Determine positive values of
′
a
′
such that
x
2
−
11
x
+
a
and
x
2
−
14
x
+
2
a
may have a common factor.
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Solution
let common root be
α
so
α
will satisfy both the equations
α
2
−
11
α
+
a
=
0
−
1
α
2
−
14
α
+
2
a
=
0
−
2
2
−
1
−
3
α
+
a
=
0
α
=
a
3
p
u
t
α
=
a
3
i
n
e
q
1
a
2
9
−
11
a
3
+
a
=
0
3
a
2
−
33
a
+
9
a
=
0
a
2
−
24
a
=
0
a
=
0
o
r
24
ubt positive value of
a
is
24
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0
Similar questions
Q.
Determine positive
a
such that
x
2
−
11
x
+
a
and
x
2
−
14
x
+
2
a
may have a common factor.
Q.
If
x
2
−
11
x
+
a
and
x
2
−
14
x
+
2
a
have common factor, then value(s) of
a
is/are
Q.
The value of such that
x
2
−
11
x
+
a
=
0
a
n
d
x
2
−
14
x
+
2
a
=
0
x
may have a common root is
Q.
If
x
2
−
11
x
+
a
and
x
2
−
14
x
+
2
a
have a common factor, then what are the values of
a
?
Q.
The value of a such that
x
2
-
11
x
+
a
=
0
and
x
2
-
14
x
+
2
a
=
0
may have a common root is
(a) 0
(b) 12
(c) 24
(d) 32
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