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CAT 2022 Slot 2 Paper
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© examsnet.com
Question : 51
Total: 66
Let
r
and
c
be real numbers. If
r
and
−
r
are roots of
5
x
2
+
c
x
2
−
10
x
+
9
=
0
, then
c
equals
9
−
2
9
2
−
4
4
Validate
Solution:
Let the roots of the given equation
5
x
3
+
c
x
2
−
10
x
+
9
=
0
be
r
,
−
r
and
p
r
−
r
+
p
=
−
c
5
p
=
−
c
5
.
.
.
(
1
)
−
r
2
−
p
r
+
p
r
=
−
2
r
2
=
2
.
.
.
(
2
)
−
r
2
p
=
−
9
5
p
=
9
10
.
.
.
(
3
)
Substituting
p
in
Eqs
(
1
)
, we get
9
10
=
−
c
5
−
9
2
=
c
The answer is option A.
© examsnet.com
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