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 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
For the function f(x) = | x $$-$$ 3 |, which one of the following is not correct?
A
The function is not continuous at x = $$-$$3
B
The function is continuous at x = 3
C
The function is differentiable ta x = 0
D
The function is differentiable at x = $$-$$3
2
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If the function $$f(x) = {{2x - {{\sin }^{ - 1}}x} \over {2x + {{\tan }^{ - 1}}x}}$$ is continuous at each point in its domain then what is the value of f(0) ?
A
$$ - {1 \over 3}$$
B
$${1 \over 3}$$
C
$${2 \over 3}$$
D
2
3
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$f(x) = \sqrt {25 - {x^2}} $$, then what is $$\mathop {\lim }\limits_{x \to 1} {{f(x) - f(1)} \over {x - 1}}$$ equal to ?
A
$$ - {1 \over {\sqrt {24} }}$$
B
$${1 \over {\sqrt {24} }}$$
C
$$ - {1 \over {4\sqrt 3 }}$$
D
$${1 \over {\sqrt{4\sqrt 3} }}$$
4
NDA 2018 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is $$\mathop {\lim }\limits_{\theta \to 0} {{\sqrt {1 - \cos \theta } } \over \theta }$$ equal to ?
A
$$\sqrt 2 $$
B
$$2\sqrt 2 $$
C
$${1 \over {\sqrt 2 }}$$
D
$$ - {1 \over {2\sqrt 2 }}$$