1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the equation x + | y | = 2y.
Which of the following statements are not correct?
1. y as a function of x is not defined for all real x.
2. y as a function of x is not continuous at x = 0.
3. y as a function of x is differentiable for all x.
Select the correct answer using the codes given below.
1. y as a function of x is not defined for all real x.
2. y as a function of x is not continuous at x = 0.
3. y as a function of x is differentiable for all x.
Select the correct answer using the codes given below.
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the equation x + | y | = 2y.
What is the derivative of y as a function of x with respect to x for x < 0 ?
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the equation $$f(x) = {{{a^{[x] + x}} - 1} \over {[x] + x}}$$ where [ . ] denotes the greatest integer function.
What is $$\mathop {\lim }\limits_{x \to {0^ + }} f(x)$$ equal to
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the equation $$f(x) = {{{a^{[x] + x}} - 1} \over {[x] + x}}$$ where [ . ] denotes the greatest integer function.
What is $$\mathop {\lim }\limits_{x \to {0^ - }} f(x)$$ 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