1
JEE Main 2021 (Online) 1st September Evening Shift
Numerical
+4
-1
Change Language
If the conductivity of mercury at 0$$^\circ$$C is 1.07 $$\times$$ 106 S m$$-$$1 and the resistance of a cell containing mercury is 0.243$$\Omega$$, then the cell constant of the cell is x $$\times$$ 104 m$$-$$1. The value of x is ____________. (Nearest integer)
Your input ____
2
JEE Main 2021 (Online) 1st September Evening Shift
Numerical
+4
-1
Change Language
A peptide synthesized by the reactions of one molecule each of Glycine, Leucine, Aspartic acid and Histidine will have _________ peptide linkages.
Your input ____
3
JEE Main 2021 (Online) 1st September Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let f : R $$\to$$ R be a continuous function. Then $$\mathop {\lim }\limits_{x \to {\pi \over 4}} {{{\pi \over 4}\int\limits_2^{{{\sec }^2}x} {f(x)\,dx} } \over {{x^2} - {{{\pi ^2}} \over {16}}}}$$ is equal to :
A
f (2)
B
2f (2)
C
2f $$\left( {\sqrt 2 } \right)$$
D
4f (2)
4
JEE Main 2021 (Online) 1st September Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
$${\cos ^{ - 1}}(\cos ( - 5)) + {\sin ^{ - 1}}(\sin (6)) - {\tan ^{ - 1}}(\tan (12))$$ is equal to :

(The inverse trigonometric functions take the principal values)
A
3$$\pi$$ $$-$$ 11
B
4$$\pi$$ $$-$$ 9
C
4$$\pi$$ $$-$$ 11
D
3$$\pi$$ + 1
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