1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\lim\limits_{x \to 0}x^3(\text{cosec} \ x)^2$ equal to ?
A
0
B
$\frac{1}{2}$
C
1
D
Limits does not exist
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $\lim\limits_{x \to 1}\frac{x^3 - 1}{\sqrt x - 1}$ equal to?
A
0
B
3
C
6
D
Limit does not exist
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
In which one of the following intervals is the function $f(x) = \frac{x^3}{3}-\frac{7x^2}{2} + 6x + 5$ decreasing?
A
(-∞, 1) only
B
(1, 6)
C
(6, ∞) only
D
(-∞, 1) ∪ (6, ∞)
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the derivative of the function$f(x) =\frac{m}{x} +2nx + 1$ vanishes at x = 2, then what is the value of m + 8n ?
A
-2
B
0
C
2
D
Cannot be determined due to insufficient data
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