1
JEE Main 2021 (Online) 18th March Evening Shift
MCQ (Single Correct Answer)
+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
2
JEE Main 2021 (Online) 16th March Morning Shift
MCQ (Single Correct Answer)
+4
-1
If for x $$\in$$ $$\left( {0,{\pi \over 2}} \right)$$, log10sinx + log10cosx = $$-$$1 and log10(sinx + cosx) = $${1 \over 2}$$(log10 n $$-$$ 1), n > 0, then the value of n is equal to :
A
16
B
9
C
12
D
20
3
JEE Main 2021 (Online) 25th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
If 0 < x, y < $$\pi$$ and cosx + cosy $$-$$ cos(x + y) = $${3 \over 2}$$, then sinx + cosy is equal to :
A
$${{1 + \sqrt 3 } \over 2}$$
B
$${{1 \over 2}}$$
C
$${{\sqrt 3 } \over 2}$$
D
$${{1 - \sqrt 3 } \over 2}$$
4
JEE Main 2021 (Online) 24th February Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
If $${e^{\left( {{{\cos }^2}x + {{\cos }^4}x + {{\cos }^6}x + ...\infty } \right){{\log }_e}2}}$$ satisfies the equation t2 - 9t + 8 = 0, then the value of
$${{2\sin x} \over {\sin x + \sqrt 3 \cos x}}\left( {0 < x < {\pi \over 2}} \right)$$ is :
A
$$\sqrt 3 $$
B
$${3 \over 2}$$
C
2$$\sqrt 3 $$
D
$${1 \over 2}$$
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