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1
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let sin β be the GM of sin α and cos α; tan γ be the AM of sin α and cos α.

What is cos 2β equal to ?
A
$(\cos \alpha-\sin \alpha)^2$
B
$(\cos \alpha+\sin \alpha)^2$
C
$(\cos \alpha-\sin \alpha)^3$
D
$\frac{(\cos \alpha-\sin \alpha)^2}{2}$
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let sin β be the GM of sin α and cos α; tan γ be the AM of sin α and cos α.

What is the value of sec2γ?
A
$\frac{3-\sin 2 \alpha}{5+2 \sin 2 \alpha}$
B
$\frac{5+\sin 2 \alpha}{3-\sin 2 \alpha}$
C
$\frac{3-2 \sin 2 \alpha}{4+\sin 2 \alpha}$
D
$\frac{3-\sin 2 \alpha}{4+3 \sin 2 \alpha}$
3
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let $x=\frac{\sin ^2 A+\sin A+1}{\sin A}$ where 0 < A ≤ $\frac{\pi}{2}$

What is the minimum value of x ?
A
1
B
2
C
3
D
4
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow :

Let $x=\frac{\sin ^2 A+\sin A+1}{\sin A}$ where 0 < A ≤ $\frac{\pi}{2}$

At what value of A does x attain the minimum value ?
A
$\frac{\pi}{6}$
B
$\frac{\pi}{4}$
C
$\frac{\pi}{3}$
D
$\frac{\pi}{2}$
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