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

What is the minimum value of x ?
A
1
B
2
C
3
D
4
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 $x=\frac{\sin ^2 A+\sin A+1}{\sin A}$ 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
$\frac{\pi}{2}$
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 :

Given that

sinx + cosx + tanx + cotx + secx + cosecx = 7 

The given equation can be reduced to 
A
sin2 2x - 44 sin2x + 36 = 0
B
sin2 2x + 44 sin2x - 36 = 0
C
sin2 2x - 22 sin2x + 18 = 0
D
sin2 2x + 22 sin2x - 18 = 0
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 :

Given that

sinx + cosx + tanx + cotx + secx + cosecx = 7 

If sin2x = a - b√c, where a and b are natural numbers and c is prime number, then what is the value of a - b + 2c ? 
A
0
B
14
C
21
D
28
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