1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = {x \over {x - 1}}$$, then what is $${{f(a)} \over {f(a + 1)}}$$ equal to ?
A
$$f\left( { - {a \over {a + 1}}} \right)$$
B
$$f({a^2})$$
C
$$f\left( {{1 \over a}} \right)$$
D
$$f( - a)$$
2
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let f : [$$-$$6, 6] $$\to$$ R be defined by f(x) = x2 $$-$$ 3. Considered the following :

1. $$(f \circ f \circ f)( - 1) = (f \circ f \circ f)(1)$$

2. $$(f \circ f \circ f)( - 1) - 4(f \circ f \circ f)(1)$$

$$ = (f \circ f)(0)$$

Which of the above is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let f(x) = px + q and g(x) = mx + n. Then, f(g(x)) = g(f(x)) is equivalent to
A
f(p) = g(m)
B
f(q) = g(n)
C
f(n) = g(q)
D
f(m) = g(p)
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following functions is neither even nor odd?
A
x2 $$-$$ 1
B
x + $${3 \over x}$$
C
| x |
D
x2 (x $$-$$ 3)
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