1
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the domain of the function $f(x) =\sqrt{1 - (x-1)^2} \ ?$
A
(0, 1)
B
[-1, 1]
C
(0, 2)
D
[0, 2]
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $4f(x) - f \left(\frac{1}{x}\right)=\left(2x+\frac{1}{x}\right)\left(2x-\frac{1}{x}\right),$ then what is f(2) equal to?
A
0
B
1
C
2
D
4
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = 4x + 3, then what is f o f o f(-1) equal to?
A
-1
B
0
C
1
D
2
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following in respect of the function f(x) = 10x :

1. Its domain is (-∞, ∞)

2. It is a continuous function

3. It is differentiable at x = 0

Which of the above statements are correct?

A
1 and 2 only
B
2 and 3 only
C
1 and 3 only
D
1, 2 and 3
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