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 :

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
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 :

Given that m(θ) = cot2θ + n2tan2θ + 2n, where n is a fixed positive real number. 

What is the least value of m(θ) ?
A
n
B
2n
C
3n
D
4n
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 m(θ) = cot2θ + n2tan2θ + 2n, where n is a fixed positive real number. 

Under what condition does m attain the least value ? 
A
n = tan2θ
B
n = cot2θ
C
n = sin2θ
D
n = cos2θ
4
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If f(x) = x(4x2 - 3), then what is f(sinθ) equal to ?  
A
-sin3θ
B
-cos3θ
C
sin3θ
D
-sin4θ
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