1
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
2
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
$${\pi \over 2}$$
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following is correct in respect of the function $$f(x) = x\sin x + \cos x + {1 \over 2}{\cos ^2}x$$ ?
A
It is increasing in the interval $$\left( {0,{\pi \over 2}} \right)$$
B
It remains constant in the interval $$\left( {0,{\pi \over 2}} \right)$$
C
It is decreasing in the interval $$\left( {0,{\pi \over 2}} \right)$$
D
It is decreasing in the interval $$\left( {{\pi \over 4},{\pi \over 2}} \right)$$
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
In which one of the following intervals is the function $$f(x) = {x^2} - 5x + 6$$ decreasing?
A
($$-$$ $$\infty$$, 2]
B
[3, $$\infty$$)
C
($$-$$ $$\infty$$, $$\infty$$)
D
(2, 3)
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12