1
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let P = {$$\theta $$ : sin$$\theta $$ $$-$$ cos$$\theta $$ = $$\sqrt 2 \,\cos \theta $$}

and Q = {$$\theta $$ : sin$$\theta $$ + cos$$\theta $$ = $$\sqrt 2 \,\sin \theta $$} be two sets. Then
A
P $$ \subset $$ Q and Q $$-$$ P $$ \ne $$ $$\phi $$
B
Q $$ \not\subset $$ P
C
P $$ \not\subset $$ Q
D
P = Q
2
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If x is a solution of the equation, $$\sqrt {2x + 1} $$ $$ - \sqrt {2x - 1} = 1,$$ $$\,\,\left( {x \ge {1 \over 2}} \right),$$ then $$\sqrt {4{x^2} - 1} $$ is equal to :
A
$${3 \over 4}$$
B
$${1 \over 2}$$
C
2
D
$$2\sqrt 2 $$
3
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let z = 1 + ai be a complex number, a > 0, such that z3 is a real number.

Then the sum 1 + z + z2 + . . . . .+ z11 is equal to :
A
$$ - 1250\,\sqrt 3 \,i$$
B
$$ 1250\,\sqrt 3 \,i$$
C
$$1365\,\sqrt 3 i$$
D
$$-$$ $$1365\,\sqrt 3 i$$
4
JEE Main 2016 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let A be a 3 $$ \times $$ 3 matrix such that A2 $$-$$ 5A + 7I = 0

Statement - I :  

A$$-$$1 = $${1 \over 7}$$ (5I $$-$$ A).

Statement - II :

The polynomial A3 $$-$$ 2A2 $$-$$ 3A + I can be reduced to 5(A $$-$$ 4I).

Then :
A
Statement-I is true, but Statement-II is false.
B
Statement-I is false, but Statement-II is true.
C
Both the statements are true.
D
Both the statements are false
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