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 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following is a square root of $\rm 2a+2\sqrt{a^2 + b^2}$, where a, b ∈ ℝ?
A
$\rm \sqrt{a + ib}+ \sqrt{a - ib}$
B
$\rm \sqrt{a + ib}- \sqrt{a - ib}$
C
2a + ib
D
2a - ib
2
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83

Consider the following statements in respect of the roots of the equation x3 - 8 = 0 :

1. The roots are non-collinear.

2. The roots lie on a circle of unit radius.

Which of the above statements is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
3
NDA Mathematics 14 November 2021
MCQ (Single Correct Answer)
+2.5
-0.83
If i = √-1, then how many values does i-2n have for different n ∈ ℤ?
A
One 
B
Two
C
Four
D
Infinite
4
NDA Mathematics 18 April 2021
MCQ (Single Correct Answer)
+2.5
-0.83

Consider the following in respect of a complex number z:

1. $\rm {\overline{\left(z^{-1}\right)}}=(\bar{z})^{-1}$

2. zz-1 = |z|2

Which of the above is/are correct?

A
1 only
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2