1
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The distance of the point $$(1,-5,9)$$ from the plane $$x-y+z=5$$ measured along the line $$x=y=z$$ is :
A
$${{10} \over {\sqrt 3 }}$$
B
$${20 \over 3}$$
C
$$3\sqrt {10} $$
D
$$10\sqrt {3} $$
2
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The Boolean expression

$$\left( {p \wedge \sim q} \right) \vee q \vee \left( { \sim p \wedge q} \right)$$ is equivalent to :
A
$${ \sim p \wedge q}$$
B
$${p \wedge q}$$
C
$$p \vee q$$
D
$$p \vee \sim q$$
3
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
4
JEE Main 2016 (Offline)
MCQ (Single Correct Answer)
+4
-1
Change Language
For $$x \in \,R,\,\,f\left( x \right) = \left| {\log 2 - \sin x} \right|\,\,$$

and $$\,\,g\left( x \right) = f\left( {f\left( x \right)} \right),\,\,$$ then :
A
$$g$$ is not differentiable at $$x=0$$
B
$$g'\left( 0 \right) = \cos \left( {\log 2} \right)$$
C
$$g'\left( 0 \right) = - \cos \left( {\log 2} \right)$$
D
$$g$$ is differentiable at $$x=0$$ and $$g'\left( 0 \right) = - \sin \left( {\log 2} \right)$$
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