1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following is correct in respect of the function
$$f(x) = x(x - 1)(x + 1)$$ ?
$$f(x) = x(x - 1)(x + 1)$$ ?
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The maximum value of $${{\ln x} \over x}$$ is
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A cylindrical jar without a lid has to be constructed using a given surface area of a metal sheet. If the capacity of the jar is to be maximum, then the diameter of the jar must be k times the height of the jar. The value of k is
4
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the length of the longest interval in which the function $$f(x) = 3\sin x - 4{\sin ^3}x$$ is increasing?
Questions Asked from Application of Derivatives (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