1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Under which one of the following conditions does the function f(x) = (p sec x)2 + (q cosec x)2 attain minimum value ?
A
tan2 x = $\frac{q}{p}$
B
cot2 x = $\frac{q}{p}$
C
tan2 x = pq
D
cot2 x = pq
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
Where does the function f(x) = $\displaystyle\sum_{j=1}^7$(x − j)2 attain its minimum value ?
A
x = 3.5
B
x = 4
C
x = 4.5
D
x = 5
3
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
How many extreme values does sin4x + 2x, where $0 < x < \frac{\pi}{2} $ have ?
A
1
B
2
C
4
D
8
4
NDA Mathematics 10 April 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If the derivative of the function$f(x) =\frac{m}{x} +2nx + 1$ vanishes at x = 2, then what is the value of m + 8n ?
A
-2
B
0
C
2
D
Cannot be determined due to insufficient data
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