1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A cylindrical jar without a lid has to be constructed using a given surface area of a metal sheet. If the capacity of the jar is to be maximum, then the diameter of the jar must be k times the height of the jar. The value of k is
A
1
B
2
C
3
D
4
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the length of the longest interval in which the function $$f(x) = 3\sin x - 4{\sin ^3}x$$ is increasing?
A
$${\pi \over 3}$$
B
$${\pi \over 2}$$
C
$${{3\pi } \over 2}$$
D
$$\pi $$
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(x) = x + {1 \over x}$$, where x$$\in$$ (0, 1). Then which one of the following is correct?
A
f(x) fluctuates in the interval
B
f(x) increases in the interval
C
f(x) decreases in the interval
D
None of the above
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let the slope of the curve y = cos$$-$$1 (sin x) be tan$$\theta$$. Then, the value of $$\theta$$ in the interval (0, $$\pi$$) is
A
$${\pi \over 6}$$
B
$${3\pi \over 4}$$
C
$${\pi \over 4}$$
D
$${\pi \over 2}$$
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