1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For the following two (02) items:
Consider the function  $f(x)=\frac{10^{x}-10^{-x}}{10^{x}+10^{-x}}$
What is the inverse of the function?
1
$\log _{10}(2x-1)$
2
$\frac{1}{2}\log _{10}(2x-1)$
3
$ \frac{1}{4}\log _{10}(\frac{2x}{2-x})$
4
$\frac{1}{2}\log _{10}(\frac{1+x}{1-x})$
2
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Consider the following for the two (02) items that follow:

Let the function y = (1 - cos x)-1 where$x \ne 2n\pi$ and n is an integer

What is the range of the function?
A
[0,)
B
[0.5,)
C
[1,)
D
(,0.5]
3
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Consider the following for the two (02) items that follow:
Let the curve f(x) = |x - 3|
What is the domain of the function (f(x))?
A
(0, ∞)
B
(3,∞)
C
(-∞, ∞)
D
(-∞.∞)\3
4
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Consider the following for the two (02) items that follow:
Let f = {(1, 1), (2, 4), (3, 7), (4, 10)}
If f(x) = px + q then what is the value of (p + q) ?
A
-1
B
0
C
1
D
5