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 2015 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
The order and degree of the differential equation of parabolas having vertex at the origin and focus at (a, 0), where a > 0, are respectively
A
1, 1
B
2, 1
C
1, 2
D
2, 2
2
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What are the degree and order respectively of the differential equation satisfying $${e^{y\sqrt {1 - {x^2}} + x\sqrt {1 - {y^2}} }} = C{e^x}$$, (where $$c > 0,\left| x \right| < 1,\left| y \right| < 1$$) ?
A
1, 1
B
1, 2
C
2, 1
D
2, 2
3
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
What is the curve which passes through the point (1, 1) and whose slope is $${{2y} \over x}$$ ?
A
Circle
B
Parabola
C
Ellipse
D
Hyperbola
4
NDA 2016 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $$x\,dy = y\,dx + {y^2}dy$$, y > 0 and y(1) = 1, then what is y($$-$$3) equal to ?
A
Only 3
B
Only $$-$$1
C
Both $$-$$1 and 3
D
Neither $$-$$1 nor 3