1
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
2
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If f : R $$\to$$ S defined by f(x) = 4 sin x $$-$$ 3 cos x + 1 is onto, then what is S equal to ?
A
[$$-$$5, 5]
B
($$-$$5, 5)
C
($$-$$4, 6)
D
[$$-$$4, 6]
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the two items that follow.

Let f(x) = x2, g(x) = tan x and h(x) = log x.
For $$x = {{\sqrt \pi } \over 2}$$, what is the value of $$[ho(gof)](x)$$ ?
A
0
B
1
C
$${\pi \over 4}$$
D
$${\pi \over 2}$$
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the two items that follow.

Let f(x) = x2, g(x) = tan x and h(x) = log x.
What is $$[fo(fof)](2)$$ equal to ?
A
2
B
8
C
16
D
256
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