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JEE Main Math Class 11 Complex Numbers and Quadratic Equations Part 1 Questions
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© examsnet.com
Question : 9
Total: 100
If
5
,
5
r
,
5
r
2
are the lengths of the sides of a triangle, then
r
cannot be equal to:
[Jan. 10, 2019 (I)]
3
4
5
4
7
4
3
2
Validate
Solution:
∆
P
Q
R
is possible if
5
+
5
r
>
5
r
2
⇒
1
+
r
>
r
2
⇒
r
2
−
r
−
1
<
0
⇒
(
r
−
1
2
+
√
5
2
)
(
r
−
1
2
−
√
5
2
)
<
0
⇒
r
∈
(
−
√
5
+
1
2
,
√
5
+
1
2
)
∵
7
4
∉
(
−
√
5
+
1
2
,
√
5
+
1
2
)
∴
r
≠
7
4
© examsnet.com
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