NDA Mathematics 1st September 2024 | NDA Year Wise Previous Years Questions

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

Direction : Consider the following for the items that follow :

Let f(x) = |x|² - |x²|

Consider the following statements :

I. f(x) is continuous at x = 0.

Il. f(x) is continuous at x = 1

Which of the statements given above is/are correct?

Both I and II

Neither I nor II

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

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)?

$\rm \frac{\sqrt3}{2}-\frac{\pi}{12}$

$\rm \frac{\sqrt3}{2}+\frac{\pi}{12}$

$\rm \frac{\sqrt3}{2}+\frac{\pi}{9}$

$\rm \frac{\sqrt3}{2}+\frac{\pi}{6}$

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

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)?

$-\left(1+\frac{\pi}{2}\right)$

$-\left(\frac{1}{2}+\frac{\pi}{2}\right)$

$-\left(1+\frac{\pi}{4}\right)$

$-2\left(\frac{1}{2}-\frac{\pi}{4}\right)$

NDA Mathematics 1st September 2024

MCQ (Single Correct Answer)

Direction : Consider the following for the items that follow :

The area bounded by the parabola y² = kx and the line x = k, where k > 0, is 4/3 square units.

What is the value of k?