1
JEE Advanced 2016 Paper 2 Offline
+3
-1
The value of

$$\sum\limits_{k = 1}^{13} {{1 \over {\sin \left( {{\pi \over 4} + {{\left( {k - 1} \right)\pi } \over 6}} \right)\sin \left( {{\pi \over 4} + {{k\pi } \over 6}} \right)}}}$$ is equal to
A
$$3 - \sqrt 3$$
B
$$2\left( {3 - \sqrt 3 } \right)$$
C
$$2\left( {\sqrt 3 - 1} \right)\,\,\,$$
D
$$2\left( {2 - \sqrt 3 } \right)$$
2
JEE Advanced 2016 Paper 1 Offline
+3
-1
Let $$S = \left\{ {x \in \left( { - \pi ,\pi } \right):x \ne 0, \pm {\pi \over 2}} \right\}.$$ The sum of all distinct solutions of the equation $$\sqrt 3 \,\sec x + \cos ec\,x + 2\left( {\tan x - \cot x} \right) = 0$$ in the set S is equal to
A
$$- {{7\pi } \over 9}$$
B
$$- {{2\pi } \over 9}$$
C
0
D
$${{5\pi } \over 9}$$
3
JEE Advanced 2014 Paper 2 Offline
+3
-1
For $$x \in \left( {0,\pi } \right),$$ the equation $$\sin x + 2\sin 2x - \sin 3x = 3$$ has
A
infinitely many solutions
B
three solutions
C
one solution
D
no solution
4
JEE Advanced 2013 Paper 1 Offline
+4
-1
The number of points in $$\left( { - \infty \,\infty } \right),$$ for which $${x^2} - x\sin x - \cos x = 0,$$ is
A
6
B
4
C
2
D
0
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