1
NDA 2017 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(x) = x + {1 \over x}$$, where x$$\in$$ (0, 1). Then which one of the following is correct?
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let the slope of the curve y = cos$$-$$1 (sin x) be tan$$\theta$$. Then, the value of $$\theta$$ in the interval (0, $$\pi$$) is
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following is correct in respect of the function $$f(x) = x\sin x + \cos x + {1 \over 2}{\cos ^2}x$$ ?
4
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?
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