1
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Consider the following for the two (02) items that follow:
Let  $y = \sin^{-1} \left( x - \frac{4x^3}{27} \right).$
What is  $\frac{dy}{dx}$ euqal to ?
A
$\frac{1}{\sqrt{9-x^2}}$
B
$\frac{1}{\sqrt{3-x^2}}$
C
$\frac{3}{\sqrt{9-x^2}}$
D
$\frac{9}{\sqrt{9-x^2}}$
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
If 4 sin-1 x + cos-1 x = π, then what is sin-1 x + 4 cos-1 x equal to?
1
π/2
2
π 
3
3π/2
4
2π 
3
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is cot2(sec-1 2) + tan2 (cosec-1 3) equal to ?
1
11/12
2
11/24
3
7/24
4
1/24
4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

If $\cos^{-1} x = \sin^{-1} x$, then which one of the following is correct?

A

$x = 1$

B

$x = \frac{1}{2}$

C

$x = \frac{1}{\sqrt{2}}$

D

$x = \frac{1}{\sqrt{3}}$

EXAM MAP