1
JEE Main 2019 (Online) 10th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the third term in the binomial expansion
of $${\left( {1 + {x^{{{\log }_2}x}}} \right)^5}$$ equals 2560, then a possible value of x is -
A
$$2\sqrt 2 $$
B
$$4\sqrt 2 $$
C
$${1 \over 8}$$
D
$${1 \over 4}$$
2
JEE Main 2019 (Online) 10th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The sum of all values of $$\theta $$ $$ \in $$$$\left( {0,{\pi \over 2}} \right)$$ satisfying
sin2 2$$\theta $$ + cos4 2$$\theta $$ = $${3 \over 4}$$ is -
A
$${{5\pi } \over 4}$$
B
$${\pi \over 2}$$
C
$$\pi $$
D
$${{3\pi } \over 8}$$
3
JEE Main 2019 (Online) 10th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let  d $$ \in $$ R, and 

$$A = \left[ {\matrix{ { - 2} & {4 + d} & {\left( {\sin \theta } \right) - 2} \cr 1 & {\left( {\sin \theta } \right) + 2} & d \cr 5 & {\left( {2\sin \theta } \right) - d} & {\left( { - \sin \theta } \right) + 2 + 2d} \cr } } \right],$$

$$\theta \in \left[ {0,2\pi } \right]$$ If the minimum value of det(A) is 8, then a value of d is -
A
$$-$$ 7
B
$$2\left( {\sqrt 2 + 2} \right)$$
C
$$-$$ 5
D
$$2\left( {\sqrt 2 + 1} \right)$$
4
JEE Main 2019 (Online) 10th January Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let  $$f\left( x \right) = \left\{ {\matrix{ {\max \left\{ {\left| x \right|,{x^2}} \right\}} & {\left| x \right| \le 2} \cr {8 - 2\left| x \right|} & {2 < \left| x \right| \le 4} \cr } } \right.$$

Let S be the set of points in the interval (– 4, 4) at which f is not differentiable. Then S
A
equals $$\left\{ { - 2, - 1,1,2} \right\}$$
B
equals $$\left\{ { - 2, - 1,0,1,2} \right\}$$
C
equals $$\left\{ { - 2,2} \right\}$$
D
is an empty set
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