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 :

The position vectors of two points A and B are î - ĵ and ĵ + k̂ respectively.

What is the magnitude of $\overrightarrow{A B}$ ?

√6

√3

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) = Pe^x + Qe^2x + Re^3x where P, Q, R are real numbers. Further f(0) = 6, f'(ln 3) = 282 and $\int_0^{\ln 2} f(x) d x=11$

‘What is the value of Q ?

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) = Pe^x + Qe^2x + Re^3x where P, Q, R are real numbers. Further f(0) = 6, f'(ln 3) = 282 and $\int_0^{\ln 2} f(x) d x=11$

What is the value of R ?

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) = Pe^x + Qe^2x + Re^3x where P, Q, R are real numbers. Further f(0) = 6, f'(ln 3) = 282 and $\int_0^{\ln 2} f(x) d x=11$

What is f'(0) equal to ?