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 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
Which one of the following differential equations represents the family of straight lines, which are at unit distance from the origin ?
A
$${\left( {y - x{{dy} \over {dx}}} \right)^2} = 1 - {\left( {{{dy} \over {dx}}} \right)^2}$$
B
$${\left( {y + x{{dy} \over {dx}}} \right)^2} = 1 + {\left( {{{dy} \over {dx}}} \right)^2}$$
C
$${\left( {y - x{{dy} \over {dx}}} \right)^2} = 1 + {\left( {{{dy} \over {dx}}} \right)^2}$$
D
$${\left( {y + x{{dy} \over {dx}}} \right)^2} = 1 - {\left( {{{dy} \over {dx}}} \right)^2}$$
2
NDA 2016 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
What is the order and degree, respectively of the differential equation whose solution is $$y = cx + {c^2} - 3{c^{3/2}} + 2$$, where c is a parameter?
A
1, 2
B
2, 2
C
1, 3
D
1, 4
3
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The general solution of $${{dy} \over {dx}} = {{ax + h} \over {by + k}}$$ represents a circle only when
A
a = b = 0
B
a = $$-$$ b $$\ne$$ 0
C
a = b $$\ne$$ 0, h = k
D
a = b $$\ne$$ 0
4
NDA 2017 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The order and degree of the differential equation $${\left( {1 + {{\left( {{{dy} \over {dx}}} \right)}^2}} \right)^3} = \rho {\left[ {{{{d^2}y} \over {d{x^2}}}} \right]^2}$$ are respectively
A
3 and 2
B
2 and 2
C
2 and 3
D
1 and 3