1
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let f(x) = cos2x + x on [-π/2, π/2]. 

What is the greatest value of f(x)? 
1
$\rm \frac{\sqrt3}{2}-\frac{\pi}{12}$
2
$\rm \frac{\sqrt3}{2}+\frac{\pi}{12}$
3
$\rm \frac{\sqrt3}{2}+\frac{\pi}{9}$
4
$\rm \frac{\sqrt3}{2}+\frac{\pi}{6}$
2
NDA Mathematics 1st September 2024
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language

Direction : Consider the following for the items that follow :

Let f(x) = cos2x + x on [-π/2, π/2]. 

What is the least value of f(x)? 
1
$-\left(1+\frac{\pi}{2}\right)$
2
$-\left(\frac{1}{2}+\frac{\pi}{2}\right)$
3
$-\left(1+\frac{\pi}{4}\right)$
4
$-2\left(\frac{1}{2}-\frac{\pi}{4}\right)$
3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

The non-negative values of $b$ for which the function $\frac{16x^3}{3} - 4bx^2 + x$ has neither maximum nor minimum in the range $x>0$ is

A

0 < b < 1

B

1 < b < 2

C

b > 2

D

0 <= b < 1

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

Consider the following for the next two (02) items that follow:

Let $\varphi(a) = \int_{a}^{a + 100 \pi} |\sin x| dx$

What is $\varphi(a)$ equal to?

A

0

B

$a$

C

100$a$

D

200

EXAM MAP