1
JEE Main 2021 (Online) 26th February Evening Shift
Numerical
+4
-1
Change Language
The NaNO3 weighed out to make 50 mL of an aqueous solution containing 70.0 mg Na+ per mL is _________ g. (Rounded off to the nearest integer)

[Given : Atomic weight in g mol$$-$$1 - Na : 23; N : 14; O : 16]
Your input ____
2
JEE Main 2021 (Online) 26th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let f(x) be a differentiable function at x = a with f'(a) = 2 and f(a) = 4.

Then $$\mathop {\lim }\limits_{x \to a} {{xf(a) - af(x)} \over {x - a}}$$ equals :
A
4 $$-$$ 2a
B
2a + 4
C
a + 4
D
2a $$-$$ 4
3
JEE Main 2021 (Online) 26th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language
Let A(1, 4) and B(1, $$-$$5) be two points. Let P be a point on the circle
(x $$-$$ 1)2 + (y $$-$$ 1)2 = 1 such that (PA)2 + (PB)2 have maximum value, then the points, P, A and B lie on :
A
a straight line
B
an ellipse
C
a parabola
D
a hyperbola
4
JEE Main 2021 (Online) 26th February Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
Let F1(A, B, C) = (A $$ \wedge $$ $$ \sim $$ B) $$ \vee $$ [$$\sim$$C $$\wedge$$ (A $$\vee$$ B)] $$\vee$$ $$\sim$$ A and
F2(A, B) = (A $$\vee$$ B) $$\vee$$ (B $$ \to $$ $$\sim$$A) be two logical expressions. Then :
A
Both F1 and F2 are not tautologies
B
F1 and F2 both are tautologies
C
F1 is not a tautology but F2 is a tautology
D
F1 is a tautology but F2 is not a tautology
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