1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is $1+\sin ^2\left(\cos ^{-1}\left(\frac{3}{\sqrt{17}}\right)\right)$ equal to ?
A
$\frac{25}{17}$
B
$\frac{8}{17}$
C
$\frac{9}{17}$
D
$\frac{47}{17}$
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If tan (π cos θ) = cot (π sin θ), $0<\theta<\frac{\pi}{2}$; then what is the value of $8 \sin ^2\left(\theta+\frac{\pi}{4}\right)$ ?
A
16
B
2
C
1
D
$\frac{1}{2}$
3
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\tan \alpha=\frac{1}{7}$, $\sin \beta=\frac{1}{\sqrt{10}}$; $0<\alpha, \beta<\frac{\pi}{2}$, then what is the value of cos (α + 2β) ?
A
$-\frac{1}{2}$
B
$-\frac{1}{\sqrt{2}}$
C
$\frac{1}{\sqrt{2}}$
D
$\frac{1}{2}$
4
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Consider the equation (1 - x)+ (5 - x)4 = 82.

What is the number of real roots of the equation?
A
0
B
2
C
4
D
8
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