1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Suppose f : R $$\to$$ R is defined by $$f(x) = {{{x^2}} \over {1 + {x^2}}}$$. What is the range of the function?
A
[0, 1)
B
[0, 1]
C
(0, 1]
D
(0, 1)
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
For f to be a function, what is the domain of f, if $$f(x) = {1 \over {\sqrt {|x| - x} }}$$ ?
A
($$-$$ $$\infty$$, 0)
B
(0, $$\infty$$)
C
($$-$$ $$\infty$$, $$\infty$$)
D
($$-$$ $$\infty$$, 0)
3
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the period of the function f(x) = sin x?
A
$${\pi \over 4}$$
B
$${\pi \over 2}$$
C
$$\pi $$
D
$$2\pi $$
4
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If f(x) is an even function, where f(x) $$\ne$$ 0, then which one of the following is correct?
A
f'(x) is an even function
B
f'(x) is an odd function
C
f'(x) may be an even or odd function depending on the type of function
D
f'(x) is a constant function
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