This chapter is currently out of syllabus
1
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
Out of Syllabus
If [x] denotes the greatest integer $$\le$$ x, then the system of linear equations [sin $$\theta$$]x + [–cos$$\theta$$]y = 0, [cot$$\theta$$]x + y = 0
A
has a unique solution if $$\theta \in \left( {{\pi \over 2},{{2\pi } \over 3}} \right)$$ and have infinitely many solutions if $$\theta \in \left( {\pi ,{{7\pi } \over 6}} \right)$$
B
have infinitely many solutions if $$\theta \in \left( {{\pi \over 2},{{2\pi } \over 3}} \right)$$ and has a unique solution if $$\theta \in \left( {\pi ,{{7\pi } \over 6}} \right)$$
C
have infinitely many solutions if $$\theta \in \left( {{\pi \over 2},{{2\pi } \over 3}} \right) \cup \left( {\pi ,{{7\pi } \over 6}} \right)$$
D
has a unique solution if $$\theta \in \left( {{\pi \over 2},{{2\pi } \over 3}} \right) \cup \left( {\pi ,{{7\pi } \over 6}} \right)$$
2
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
Out of Syllabus
Let S be the set of all $$\alpha$$ $$\in$$ R such that the equation, cos2x + $$\alpha$$sinx = 2$$\alpha$$– 7 has a solution. Then S is equal to :
A
[2, 6]
B
[3, 7]
C
[1, 4]
D
R
3
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
Out of Syllabus
The number of solutions of the equation
1 + sin4 x = cos23x, $$x \in \left[ { - {{5\pi } \over 2},{{5\pi } \over 2}} \right]$$ is :
A
5
B
3
C
7
D
4
4
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
Out of Syllabus
Let S = {$$\theta$$ $$\in$$ [–2$$\pi$$, 2$$\pi$$] : 2cos2$$\theta$$ + 3sin$$\theta$$ = 0}. Then the sum of the elements of S is
A
$$\pi$$
B
2$$\pi$$
C
$${{13\pi } \over 6}$$
D
$${{5\pi } \over 3}$$
EXAM MAP
Medical
NEET