1
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The value of tan-1 $$\left[ {{{\sqrt {1 + {x^2}} + \sqrt {1 - {x^2}} } \over {\sqrt {1 + {x^2}} - \sqrt {1 - {x^2}} }}} \right],$$ $$\left| x \right| < {1 \over 2},x \ne 0,$$ is equal to :
A
$${\pi \over 4} + {1 \over 2}{\cos ^{ - 1}}\,{x^2}$$
B
$${\pi \over 4} + {\cos ^{ - 1}}\,{x^2}$$
C
$${\pi \over 4} - {1 \over 2}{\cos ^{ - 1}}\,{x^2}$$
D
$${\pi \over 4} - {\cos ^{ - 1}}\,{x^2}$$
2
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The proposition $$\left( { \sim p} \right) \vee \left( {p \wedge \sim q} \right)$$ is equivalent to :
A
p $$ \vee $$ ~ q
B
p $$ \to $$ ~ q
C
p $$ \wedge $$ ~ q
D
q $$ \to $$ p
3
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Time (T), velocity (C) and angular momentum (h) are chosen as fundamentalquantities instead of mass, length and time. In terms of these, the dimensions of mass would be :
A
[M] = [T$$-$$1 C$$-$$2 h]
B
[M] = [T$$-$$1 C2 h]
C
[M] = [T$$-$$1 C$$-$$2 h$$-$$1]
D
[M] = [T C$$-$$2 h]
4
JEE Main 2017 (Online) 8th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Which graph corresponds to an object moving with a constant negative acceleration and a positive velocity ?
A
JEE Main 2017 (Online) 8th April Morning Slot Physics - Motion Question 143 English Option 1
B
JEE Main 2017 (Online) 8th April Morning Slot Physics - Motion Question 143 English Option 2
C
JEE Main 2017 (Online) 8th April Morning Slot Physics - Motion Question 143 English Option 3
D
JEE Main 2017 (Online) 8th April Morning Slot Physics - Motion Question 143 English Option 4
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