1
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
If , then what is the value of k?
A
1
B
1/2
C
1/3
D
1/4
2
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 y equal to?
A
sin-1x
B
sin-1 $ \frac{x}{3}$
C
3sin-1x
D

3sin-1$(\frac{x}{3})$

3
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
$\frac{9}{\sqrt{9-x^2}}$
4
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 
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