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

Consider the following statements :

1. f(x) = In x is increasing in (0, ∞)

2. $g(x)=e^x+e^{\frac{1}{x}} $ is decreasing in (0, ∞)

Which of the statements given above is/are correct ?  

A
1 only 
B
2 only
C
Both 1 and 2
D
Neither 1 nor 2
2
NDA Mathematics 16 April 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
What is the derivative of sin2 x with respect to cos2x ?  
A
-1
B
1
C
sin2x
D
cos2x
3
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
4
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
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