1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the two items that follow :
Consider the equation xy = ex $$-$$ y
Consider the equation xy = ex $$-$$ y
What is $${{{d^2}y} \over {d{x^2}}}$$ at x = 1 equal to ?
2
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the derivative of $${\sec ^2}({\tan ^{ - 1}}x)$$ with respect to x ?
3
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If f(x) = sin (cos x), then f'(x) is equal to
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the following for the next two (02) items that follow:
Let $f(x) = \frac{x}{\ln x}; (x > 1)$
Consider the following statements :
1. $f''(e) = \frac{1}{e}$
2. $f(x)$ attains local minimum value at $x = e$
3. A local minimum value of $f(x)$ is $e$
Which of the statements given above are correct ?
Questions Asked from Differentiation (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