1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the differential equation of the family of parabolas having a vertex at origin and axis along positive y-axis?
A
x$\frac{\text{dy}}{\text{dx}}$ + 2y = 0
B
x$\frac{\text{dy}}{\text{dx}}$ − 2y = 0
C
y$\frac{\text{dx}}{\text{dy}}$ + 2x = 0
D
y$\frac{\text{dx}}{\text{dy}}$ − 2x = 0
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the solution of the differential equation (dy − dx) + cos x(dy + dx) = 0 ?
A
y = tan$\left(\frac{x}{2}\right)$ − x + c
B
y = $\frac{1}{2}\tan\left(\frac{x}{2}\right)$ − x + c
C
y = 2tan$\left(\frac{x}{2}\right)$ − x + c
D
y = tan$\left(\frac{x}{2}\right)$ − 2x + c
3
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Let x be the mean of squares of first n natural numbers and y be the square of mean of first n natural numbers. If $\frac{\text{x}}{\text{y}} = \frac{55}{42}$, then what is the value of n ?
A
24
B
25
C
27
D
30
4
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the probability of getting a composite number in the list of natural numbers from 1 to 50?
A
$​\frac{7}{10}$
B
$\frac{17}{25}$
C
$\frac{18}{25}$
D
$\frac{33}{50}$
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12