1
JEE Main 2021 (Online) 27th July Morning Shift
Numerical
+4
-1
Change Language
The difference between bond orders of CO and NO$$^ \oplus $$ is $${x \over 2}$$ where x = _____________. (Round off to the Nearest Integer)
Your input ____
2
JEE Main 2021 (Online) 27th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
If the mean and variance of the following data : 6, 10, 7, 13, a, 12, b, 12 are 9 and $${{37} \over 4}$$

respectively, then (a $$-$$ b)2 is equal to :
A
24
B
12
C
32
D
16
3
JEE Main 2021 (Online) 27th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let $$\overrightarrow a = \widehat i + \widehat j + 2\widehat k$$ and $$\overrightarrow b = - \widehat i + 2\widehat j + 3\widehat k$$. Then the vector product $$\left( {\overrightarrow a + \overrightarrow b } \right) \times \left( {\left( {\overrightarrow a \times \left( {\left( {\overrightarrow a - \overrightarrow b } \right) \times \overrightarrow b } \right)} \right) \times \overrightarrow b } \right)$$ is equal to :
A
$$5(34\widehat i - 5\widehat j + 3\widehat k)$$
B
$$7(34\widehat i - 5\widehat j + 3\widehat k)$$
C
$$7(30\widehat i - 5\widehat j + 7\widehat k)$$
D
$$5(30\widehat i - 5\widehat j + 7\widehat k)$$
4
JEE Main 2021 (Online) 27th July Morning Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
The value of the definite integral

$$\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{dx} \over {(1 + {e^{x\cos x}})({{\sin }^4}x + {{\cos }^4}x)}}} $$ is equal to :
A
$$ - {\pi \over 2}$$
B
$${\pi \over {2\sqrt 2 }}$$
C
$$ - {\pi \over 4}$$
D
$${\pi \over {\sqrt 2 }}$$
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