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Test Index
TS EAMCET 20-July-2022 Shift 2 Solved Paper
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© examsnet.com
Question : 13
Total: 160
If the sum of two roots of the equation
x
3
−
7
p
x
2
+
5
q
x
−
6
r
=
0
is zero, then
5
p
=
6
q
7
r
5
q
=
6
r
7
p
5
r
=
6
p
7
q
p
q
r
=
35
Validate
Solution:
x
3
−
7
p
x
2
+
5
q
x
−
6
r
=
0
α
+
β
+
γ
=
−
(
−
7
p
)
1
=
7
p
Sum of two roots is zero.
∴
Let
α
+
β
0
=
0
Then,
γ
=
7
p
......(i)
α
⋅
β
+
β
⋅
γ
+
γ
⋅
α
=
5
q
⇒
α
β
+
γ
(
α
+
β
)
=
5
q
⇒
α
⋅
β
+
γ
⋅
0
=
5
q
⇒
α
⋅
β
=
5
q
....(ii)
Now,
α
⋅
β
⋅
γ
=
−
(
−
6
r
)
1
=
6
r
⇒
5
q
⋅
7
p
=
6
r
⇒
5
q
=
6
r
∕
7
p
© examsnet.com
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