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 ≤ $\frac{\pi}{2}$

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

In the triangle ABC, 

a2 + b2 + c2 = ac + √3 bc

What is the nature of the triangle ? 
A
Equilateral
B
Isosceles
C
Right angled triangle
D
Scalene but not right angled
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 :

In the triangle ABC, 

a2 + b2 + c2 = ac + √3 bc

If c = 8, what is the area of the triangle ?
A
4√3
B
6√3
C
8√3
D
12√3
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 :

Consider the function

f(x) = |x - 2| + |3 - x| + |4 - x|, where x ∈ R.

At what value of x does the function attain minimum value ?
A
2
B
3
C
4
D
0
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