1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = {{{x^3}} \over 3} - {{5{x^2}} \over 2} + 6x + 7$$ increases in the interval T and decreases in the interval S, then which one of the following is correct?
2
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 function
$$f(x) = 3{x^4} - 20{x^3} - 12{x^2} + 288x + 1$$
consider the function
$$f(x) = 3{x^4} - 20{x^3} - 12{x^2} + 288x + 1$$
In which one of the following intervals is the function increasing?
3
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 function
$$f(x) = 3{x^4} - 20{x^3} - 12{x^2} + 288x + 1$$
consider the function
$$f(x) = 3{x^4} - 20{x^3} - 12{x^2} + 288x + 1$$
In which one of the following intervals is the function decreasing?
4
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
A given quantity of metal is to be case into a half cylinder (i.e. with a rectangular base and semicircular ends). If the total surface area is to be minimum, then the ratio of the height of the half cylinder to the diameter of the semicircular ends is
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