1
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(x) = \left\{ {\matrix{
{3{x^2} + 12x - 1,} & { - 1 \le x \le 2} \cr
{37 - x,} & {2 < x \le 3} \cr
} } \right.$$
Which of the following statements is/are correct?
I. f(x) is increasing in the interval {$$-$$1, 2}.
II. f(x) is decreasing in the interval {2, 3}.
Select the correct answer using the code given below.
I. f(x) is increasing in the interval {$$-$$1, 2}.
II. f(x) is decreasing in the interval {2, 3}.
Select the correct answer using the code given below.
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(x) = \left\{ {\matrix{
{3{x^2} + 12x - 1,} & { - 1 \le x \le 2} \cr
{37 - x,} & {2 < x \le 3} \cr
} } \right.$$
Which of the following statements are correct?
I. f(x) is continuous at x = 2.
II. f(x) attains greatest value at x = 2.
III. f(x) is differentiable at x = 2.
Select the correct answer using the code given below.
I. f(x) is continuous at x = 2.
II. f(x) attains greatest value at x = 2.
III. f(x) is differentiable at x = 2.
Select the correct answer using the code given below.
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(x) = \left\{ {\matrix{
{{{{e^x} - 1} \over x},} & {x > 0} \cr
{0,} & {x = 0} \cr
} } \right.$$ be a real valued function. Which one of the following statements is correct?
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Consider the function $$f(x) = |x - 1| + {x^2}$$, where x$$\in$$R.
Which one of the following statements is correct?
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