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1
NDA 2019 Paper 1
MCQ (Single Correct Answer)
+2.5
-0.83
If f(x) = sin (cos x), then f'(x) is equal to
A
cos (cos x)
B
sin ($$-$$ sin x)
C
(sin x) cos(cos x)
D
($$-$$ sin x) cos(cos x)
2
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Let  $x = \sec \theta - \cos \theta \text{ and } y = \sec^4 \theta - \cos^4 \theta \\ $ 
What is $(\frac{dy}{dx})^2$ equal to?
A
$\frac{4(y^2+4)}{(x^2+4)}$
B
$\frac{4(y^2-4)}{(x^2-4)}$
C
$\frac{16(y^2+4)}{(x^2+4)}$
D
$\frac{16(y^2-4)}{(x^2-4)}$
3
NDA Mathematics 13 April 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Let  $x = \sec \theta - \cos \theta \text{ and } y = \sec^4 \theta - \cos^4 \theta \\ $ 
What  $\left[ \frac{x^2+4}{y^2+4} \frac{dy}{dx} \left( x^2+4 \frac{d^2y}{dx^2} - 16y \right) \right] $  equal to?
A
$16x$
B
$16y$
C
$-16x$
D
$-16y$
4
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 , where p,q are positive integers.

The derivative of y with respect to x
A
depends on p only
B
depends on q only
C
depends on both p and qc
D
is independent of both p and q
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