1
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Given that 4x2 + y2 = 9.

What is the maximum value of y?
A
$\frac{3}{2}$
B
3
C
4
D
6
2
NDA Mathematics 3 September 2023
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next items that follow:

Given that 4x2 + y2 = 9.

What is the maximum value of xy ?
A
$\frac{9}{4}$
B
$\frac{3}{2}$
C
$\frac{4}{9}$
D
$\frac{2}{3}$
3
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
4
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
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