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KEAM 2019 Math Paper
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© examsnet.com
Question : 62
Total: 121
If the roots of
x
3
−
12
x
2
+
39
x
−
28
=
0
are in AP, then their common difference is
±
2
±
3
0
±
1
Z
Validate
Solution:
If the roots are
α
−
d
,
α
,
α
+
d
with their common difference
d
, then,
α
−
d
+
α
+
α
+
d
=
12
α
=
4
and
(
α
−
d
)
α
(
α
+
d
)
=
28
⇒
(
4
2
−
d
2
)
4
=
28
⇒
d
=
±
3
© examsnet.com
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