1
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 + 2x $$-$$ 5

and g(x) = 5x + 30
What are the roots of the equation $$g[(f(x)] = 0$$ ?
A
1, $$-$$1
B
$$-$$1, $$-$$1
C
1, 1
D
0, 1
2
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 + 2x $$-$$ 5

and g(x) = 5x + 30
Consider the following statements :

1. f[g(x)] is a polynomial of degree 3.

2. g[g(x)] is a polynomial of degree 2.

Which of the above statements is/are correct?
A
Only 1
B
Only 2
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A function f defined by $$f(x) = \ln \left( {\sqrt {{x^2} + 1} - x} \right)$$ is
A
an even function
B
an odd function
C
both even and odd function
D
neither even nor odd function
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
The domain of the function f defined by

f(x) = logx 10 is
A
x > 10
B
x > 0 excluding x = 10
C
x $$\ge$$ 10
D
x > 0 excluding x = 1
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