NDA Mathematics 3 September 2023 | NDA Year Wise Previous Years Questions

Mathematics

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

A function is defined by$f(x)=\left|\begin{array}{ccc} x+1 & 2 & 3 \\ 2 & x+4 & 6 \\ 3 & 6 & x+9 \end{array}\right|$ .

The function is decreasing on :

$\left[-\frac{28}{3}, 0\right]$

$\left[0, \frac{28}{3}\right]$

$\left[0, \frac{50}{3}\right]$

$\left[0, \frac{56}{3}\right]$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

A function is defined by$f(x)=\left|\begin{array}{ccc} x+1 & 2 & 3 \\ 2 & x+4 & 6 \\ 3 & 6 & x+9 \end{array}\right|$ .

The function attains local minimum value at :

${x}=-\frac{28}{3}$

x = -1

x = 0

${x}=\frac{28}{3}$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

Given that 4x2 + y2 = 9.

What is the maximum value of y?

$\frac{3}{2}$

NDA Mathematics 3 September 2023

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following for the next items that follow:

Given that 4x2 + y2 = 9.

What is the maximum value of xy ?

$\frac{9}{4}$

$\frac{3}{2}$

$\frac{4}{9}$

$\frac{2}{3}$