1
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
A value of $$\theta \,$$ for which $${{2 + 3i\sin \theta \,} \over {1 - 2i\,\,\sin \,\theta \,}}$$ is purely imaginary, is :
A
$${\sin ^{ - 1}}\left( {{{\sqrt 3 } \over 4}} \right)$$
B
$${\sin ^{ - 1}}\left( {{1 \over {\sqrt 3 }}} \right)\,$$
C
$${\pi \over 3}$$
D
$${\pi \over 6}$$
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If the standard deviation of the numbers 2, 3, a and 11 is 3.5, then which of the following is true?
A
3$$a$$2 - 26$$a$$ + 55 = 0
B
3$$a$$2 - 32$$a$$ + 84 = 0
C
3$$a$$2 - 34$$a$$ + 91 = 0
D
3$$a$$2 - 23$$a$$ + 44 = 0
3
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
Let two fair six-faced dice $$A$$ and $$B$$ be thrown simultaneously. If $${E_1}$$ is the event that die $$A$$ shows up four, $${E_2}$$ is the event that die $$B$$ shows up two and $${E_3}$$ is the event that the sum of numbers on both dice is odd, then which of the following statements is $$NOT$$ true?
A
$${E_1}$$ and $${E_2}$$ are independent.
B
$${E_2}$$ and $${E_3}$$ are independent.
C
$${E_1}$$ and $${E_3}$$ are independent.
D
$${E_1},$$ $${E_2}$$ and $${E_3}$$ are independent.
4
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
If a curve $$y=f(x)$$ passes through the point $$(1,-1)$$ and satisfies the differential equation, $$y(1+xy) dx=x$$ $$dy$$, then $$f\left( { - {1 \over 2}} \right)$$ is equal to :
A
$${2 \over 5}$$
B
$${4 \over 5}$$
C
$$-{2 \over 5}$$
D
$$-{4 \over 5}$$
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