1
NDA 2018 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If f : R $$\to$$ S defined by f(x) = 4 sin x $$-$$ 3 cos x + 1 is onto, then what is S equal to ?
2
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the two items that follow.
Let f(x) = x2, g(x) = tan x and h(x) = log x.
Let f(x) = x2, g(x) = tan x and h(x) = log x.
For $$x = {{\sqrt \pi } \over 2}$$, what is the value of $$[ho(gof)](x)$$ ?
3
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the two items that follow.
Let f(x) = x2, g(x) = tan x and h(x) = log x.
Let f(x) = x2, g(x) = tan x and h(x) = log x.
What is $$[fo(fof)](2)$$ equal to ?
4
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Read the following information and answer the three items that follow.
Consider the function
f(x) = g(x) + h(x)
where, g(x) = sin$$\left( {{x \over 4}} \right)$$
and h(x) = cos$$\left( {{{4x} \over 5}} \right)$$
Consider the function
f(x) = g(x) + h(x)
where, g(x) = sin$$\left( {{x \over 4}} \right)$$
and h(x) = cos$$\left( {{{4x} \over 5}} \right)$$
What is the period of the function g(x)?
Questions Asked from Functions (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