NDA Mathematics 16 April 2023 | NDA Year Wise Previous Years Questions

Mathematics

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

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

Let $l=\int_a^b \frac{|x|}{x} d x, $ a < b

What is l equal to when a < b < 0 ?

a + b

a - b

b - a

$\frac{(a+b)}{2}$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next three (03) items that follow :

Let f(x) = |ln x|, x ≠ 1

What is the derivative of f(x) at x = 0.5 ?

-2

-1

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next three (03) items that follow :

Let f(x) = |ln x|, x ≠ 1

What is the derivative of f(x) at x = 2 ?

$- \frac{1}{2}$

-1

$\frac{1}{2}$

NDA Mathematics 16 April 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next three (03) items that follow :

Let f(x) = |ln x|, x ≠ 1

What is the derivative of fof(x), where 1 < x < 2 ?

$\frac{1}{\ln x}$

$\frac{1}{x \ln x}$

$-\frac{1}{\ln x}$

$-\frac{1}{x\ln x}$