1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following is correct in respect of the function $$f(x) = x\sin x + \cos x + {1 \over 2}{\cos ^2}x$$ ?
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
In which one of the following intervals is the function $$f(x) = {x^2} - 5x + 6$$ decreasing?
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
A flower-bed in the form of a sector has been fenced by a wire of 40 m length. If the flower-bed has the greatest possible area, then what is the radius of the sector?
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the minimum value of $${[x(x - 1) + 1]^{{1 \over 3}}}$$, where 0 $$\le$$ x $$\le$$ 1 ?
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