1
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.
Consider the functions f(x) = xg(x) and g(x) = $$\left[ {{1 \over x}} \right]$$, where [ . ] is the greatest integer function.
Consider the functions f(x) = xg(x) and g(x) = $$\left[ {{1 \over x}} \right]$$, where [ . ] is the greatest integer function.
What is $$\int_{1/3}^{1/2} {g(x)\,dx} $$ equal to ?
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.
Consider the functions f(x) = xg(x) and g(x) = $$\left[ {{1 \over x}} \right]$$, where [ . ] is the greatest integer function.
Consider the functions f(x) = xg(x) and g(x) = $$\left[ {{1 \over x}} \right]$$, where [ . ] is the greatest integer function.
What is $$\int_{1/3}^1 {f(x)} \,dx$$ equal to ?
3
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.
Given that, $${a_n} = \int_0^\pi {{{{{\sin }^2}\{ (n + 1)x\} } \over {\sin 2x}}dx} $$
Given that, $${a_n} = \int_0^\pi {{{{{\sin }^2}\{ (n + 1)x\} } \over {\sin 2x}}dx} $$
Consider the following statements
1. The sequence $$\{ {a_{2n}}\} $$ is in AP with common difference zero.
2. The sequence $$\{ {a_{2n + 1}}\} $$ is in AP with common difference zero.
Which of the above statements is/are correct?
1. The sequence $$\{ {a_{2n}}\} $$ is in AP with common difference zero.
2. The sequence $$\{ {a_{2n + 1}}\} $$ is in AP with common difference zero.
Which of the above statements is/are correct?
4
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information carefully and answer the questions given below.
Given that, $${a_n} = \int_0^\pi {{{{{\sin }^2}\{ (n + 1)x\} } \over {\sin 2x}}dx} $$
Given that, $${a_n} = \int_0^\pi {{{{{\sin }^2}\{ (n + 1)x\} } \over {\sin 2x}}dx} $$
What is $${a_{n - 1}} - {a_{n - 4}}$$ equal to ?
Questions Asked from Definite Integration (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