Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Angles and Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Function
MCQ (Single Correct Answer)
Height and Distance
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Calculus
Limit, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
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)
2
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
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
$\frac{2 \ln 2}{100}$
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
If log10 2 log2 10 + log10(10x) = 2, then what is the value of x?
A
0
B
1
C
log210
D
log52
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83
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
$\dfrac{\pi}{6}$