1
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
If $$\tan \left( {{\pi \over 9}} \right),x,\tan \left( {{{7\pi } \over {18}}} \right)$$ are in arithmetic progression and $$\tan \left( {{\pi \over 9}} \right),y,\tan \left( {{{5\pi } \over {18}}} \right)$$ are also in arithmetic progression, then $$|x - 2y|$$ is equal to :
A
4
B
3
C
0
D
1
2
JEE Main 2021 (Online) 27th July Morning Shift
+4
-1
If $$\sin \theta + \cos \theta = {1 \over 2}$$, then 16(sin(2$$\theta$$) + cos(4$$\theta$$) + sin(6$$\theta$$)) is equal to :
A
23
B
$$-$$27
C
$$-$$23
D
27
3
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
The value of $$\cot {\pi \over {24}}$$ is :
A
$$\sqrt 2 + \sqrt 3 + 2 - \sqrt 6$$
B
$$\sqrt 2 + \sqrt 3 + 2 + \sqrt 6$$
C
$$\sqrt 2 - \sqrt 3 - 2 + \sqrt 6$$
D
$$3\sqrt 2 - \sqrt 3 - \sqrt 6$$
4
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
If 15sin4$$\alpha$$ + 10cos4$$\alpha$$ = 6, for some $$\alpha$$$$\in$$R, then the value of

27sec6$$\alpha$$ + 8cosec6$$\alpha$$ is equal to :
A
500
B
400
C
250
D
350
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