Algebra
Sets, Relations and Functions
MCQ (Single Correct Answer)
Quadratic Equations and Inequalities
MCQ (Single Correct Answer)
Sequence And Series
MCQ (Single Correct Answer)
Permutations and Combinations
MCQ (Single Correct Answer)
Three Dimensional Geometry
MCQ (Single Correct Answer)
Trigonometry
Trigonometric Angles and Equations
MCQ (Single Correct Answer)
Inverse Trigonometric Function
MCQ (Single Correct Answer)
Height and Distance
MCQ (Single Correct Answer)
Properties of Triangles
MCQ (Single Correct Answer)
Calculus
Limit, Continuity and Differentiability
MCQ (Single Correct Answer)
Application of Derivatives
MCQ (Single Correct Answer)
Indefinite Integration
MCQ (Single Correct Answer)
Definite Integration
MCQ (Single Correct Answer)
Area Under The Curves
MCQ (Single Correct Answer)
Differential Equations
MCQ (Single Correct Answer)
1
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = {x \over 2} - 1$$, then on the interval [0, $$\pi$$] which one of the following is correct?
A
tan[f(x)], where [ . ] is the greatest integer function, and $${1 \over {f(x)}}$$ are both continuous.
B
tan[f(x)], where [ . ] is the greatest integer function, and f$$-$$1(x) are both continuous.
C
tan[f(x)], where [ . ] is the greatest integer function, and $${1 \over {f(x)}}$$ are both discontinuous.
D
tan[f(x)], where [ . ] is the greatest integer function is discontinuous but $${1 \over {f(x)}}$$ is continuous
2
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following graph represents the function $$f(x) = {x \over x},x \ne 0$$ ?
A
NDA 2017 Paper 2 Mathematics - Functions Question 55 English Option 1
B
NDA 2017 Paper 2 Mathematics - Functions Question 55 English Option 2
C
NDA 2017 Paper 2 Mathematics - Functions Question 55 English Option 3
D
None of the above
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Let $$f(n) = \left[ {{1 \over 4} + {n \over {1000}}} \right]$$, where [x] denote the integral part of x. Then the value of $$\sum\limits_{n = 1}^{1000} {f(n)} $$ is
A
251
B
250
C
1
D
0
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = {{4x + {x^4}} \over {1 + 4{x^3}}}$$ and $$g(x) = \ln \left( {{{1 + x} \over {1 - x}}} \right)$$, then what is the value of $$(fog)\left( {{{e - 1} \over {e + 1}}} \right)$$ equal to ?
A
2
B
1
C
0
D
$${1 \over 2}$$