1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the minimum value of the function f(x) = log10(x2 + 2x + 11) ?
A
0
B
1
C
2
D
10
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = ln (x + $\sqrt{1+\text{x}^2}$), then which one of the following is correct ?
A
f(x) + f(−x) = 0
B
f(x)−f(−x) = 0
C
2f(x) = f(−x)
D
f(x) = 2f(−x)
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
A radioactive substance decays at a rate proportional to the amount of substance present. If half of the substance decays in 100 years, then what is the decay constant (proportionality constant) ?
A
$\frac{\ln 2}{100}$
B
$\frac{\ln 5}{100}$
C
$\frac{\ln 10}{100}$
D
$\frac{2 \ln 2}{100}$
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
The value of x, satisfying the equation  $log_{cos x} ~sin x = 1$, where $0<x<\dfrac{\pi}{2}$, is
A
$\dfrac{\pi}{12}$
B
$\dfrac{\pi}{3}$
C
$\dfrac{\pi}{4}$
D
$\dfrac{\pi}{6}$
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