1
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
What is the coefficient of $x^{10}$ in the expansion of $(1-x^2)^{20}\left(2-x^2-\frac{1}{x^2}\right)^{-5}$?
2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
If the 4th term in the expansion of $\left(mx + \frac{1}{x}\right)^n$ is $\frac{5}{2}$, then what is the value of $mn$?
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
In a binomial expansion of $(x+y)^{2 n+1}(x-y)^{2 n+1}$, the sum of middle terms is zero. What is the value of $\left(\frac{x^2}{y^2}\right)$ ?
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next items that follow:
Consider the equation (1 - x)4 + (5 - x)4 = 82.
What is the number of real roots of the equation?
Questions Asked from Binomial Theorem (Marks 2.5)
Number in Brackets after Paper Indicates No. of Questions
NDA Subjects
Mathematics
Algebra
Sets, Relations and Functions Logarithms Quadratic Equations and Inequalities Sequence And Series Binomial Theorem Matrices Determinants Permutations and Combinations Probability Complex Numbers Vector Algebra Three Dimensional Geometry Statistics
Trigonometry
Trigonometric Angles and Equations Inverse Trigonometric Function Height and Distance Properties of Triangles
Coordinate Geometry
Calculus
English
General Studies