1
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
All x satisfying the inequality (cot–1 x)2– 7(cot–1 x) + 10 > 0, lie in the interval :
A
(cot 2, $$\infty$$)
B
(–$$\infty$$, cot 5) $$\cup$$ (cot 2, $$\infty$$)
C
(cot 5, cot 4)
D
(– $$\infty$$, cot 5) $$\cup$$ (cot 4, cot 2)
2
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
The value of $$\cot \left( {\sum\limits_{n = 1}^{19} {{{\cot }^{ - 1}}} \left( {1 + \sum\limits_{p = 1}^n {2p} } \right)} \right)$$ is :
A
$${{22} \over {23}}$$
B
$${{23} \over {22}}$$
C
$${{21} \over {19}}$$
D
$${{19} \over {21}}$$
3
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
If  x = sin$$-$$1(sin10) and y = cos$$-$$1(cos10), then y $$-$$ x is equal to :
A
0
B
10
C
7$$\pi$$
D
$$\pi$$
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
If $${\cos ^{ - 1}}\left( {{2 \over {3x}}} \right) + {\cos ^{ - 1}}\left( {{3 \over {4x}}} \right) = {\pi \over 2}$$ (x > $$3 \over 4$$), then x is equal to :
A
$${{\sqrt {145} } \over {10}}$$
B
$${{\sqrt {145} } \over {11}}$$
C
$${{\sqrt {145} } \over {12}}$$
D
$${{\sqrt {146} } \over {12}}$$
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