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 FunctionsLogarithmsQuadratic Equations and InequalitiesSequence And SeriesBinomial TheoremMatricesDeterminantsPermutations and CombinationsProbabilityComplex NumbersVector AlgebraThree Dimensional GeometryStatistics
Trigonometry
Trigonometric Angles and EquationsInverse Trigonometric FunctionHeight and DistanceProperties of Triangles
Coordinate Geometry
Calculus
English
General Studies