ExamSIDE (Powered by ExamGOAL)
Questions
PREVIOUS
1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the differential equation of all parabolas of the type y2 = 4a (x - b)?
A
$ \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 $
B
$ \frac{d^2 y}{d x^2}+x^2\left(\frac{d y}{d x}\right)^2=0$
C
$y^2 \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0 $
D
$y \frac{d^2 y}{d x^2}+\left(\frac{d y}{d x}\right)^2=0$
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Suppose E is the differential equation representing family of curves y2 = 2cx + 2c√c where c is a positive parameter.  

What is the order of the differential equation ?
A
1
B
2
C
3
D
4
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Suppose E is the differential equation representing family of curves y2 = 2cx + 2c√c where c is a positive parameter.  

What is the degree of the differential equation ? 
A
2
B
3
C
4
D
Degree does not exist 
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

A solution of the differential equation

$\left(\frac{d y}{d x}\right)^2-x \frac{d y}{d x}=0 $ is

A
y = 2x
B
y = 2x + 4
C
y = x2 - 1
D
$y=\frac{\left(x^2-2\right)}{2}$
PREVIOUS
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
Coordinate System and Straight Line Circle Parabola Ellipse Hyperbola
Calculus
Functions Limit, Continuity and Differentiability Differentiation Application of Derivatives Indefinite Integration Definite Integration Area Under The Curves Differential Equations
English
Reading Comprehension Synonyms Antonyms Cloze Rearranging Sentences in a Paragraph Idioms and Phrases Word Classes Sentence Completion Improvement of Sentence
General Science
Physics Chemistry Biology
General Studies
History Geography Polity Economy General Knowledge
EXAM MAP
Joint Entrance Examination
JEE MainJEE AdvancedWB JEEBITSATMHT CETKCETCOMEDKVITEEEAP EAPCET
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
CBSE
Class 12