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Algebra and Applications Test 1
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© examsnet.com
Question : 14
Total: 40
If the roots of the equation
q
2
+
q
+
1
=
0
are in the ratio of j : k, then which one of the following relations holds true?
j
+
k
+
1
=
0
j
k
+
k
j
+
1
=
0
√
j
+
√
k
+
1
=
0
√
j
k
+
√
k
j
+
1
=
0
None of these
Validate
Solution:
👈: Video Solution
Let the roots of
q
2
+
q
+
1
=
0
are jσ and kσ
∴
j
σ
+
k
σ
=
−
1
⇒
σ
=
−
1
j
+
k
and
j
σ
.
k
σ
=
1
⇒
j
k
(
−
1
j
+
k
)
2
=
1
⇒
j
k
=
(
j
+
k
)
2
⇒
j
k
=
j
2
+
k
2
+
2
j
k
⇒
1
=
j
k
+
k
j
+
2
⇒
j
k
+
k
j
+
1
=
0
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