1
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function $$f(x) = \left\{ {\matrix{
{{{\sin 2x} \over {5x}},} & {if\,x \ne 0} \cr
{{2 \over {15}},} & {if\,x = 0} \cr
} } \right.$$
Which one of the following is correct in respect of the function?
Which one of the following is correct in respect of the function?
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
For the function f(x) = | x $$-$$ 3 |, which one of the following is not correct?
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the function $$f(x) = {{2x - {{\sin }^{ - 1}}x} \over {2x + {{\tan }^{ - 1}}x}}$$ is continuous at each point in its domain then what is the value of f(0) ?
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = \sqrt {25 - {x^2}} $$, then what is $$\mathop {\lim }\limits_{x \to 1} {{f(x) - f(1)} \over {x - 1}}$$ equal to ?
Questions Asked from Limit, Continuity and Differentiability (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