NDA Mathematics 4 September 2022 | NDA Year Wise Previous Years Questions

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NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

If $\frac{d}{d x}\left(\frac{1+x^4+x^8}{1−x^2+x^4}\right)$ = ax + bx3, then which one of the following is correct?

a = b

a = 2b

a + b = 0

2a = b

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Under which one of the following conditions does the function f(x) = (p sec x)2 + (q cosec x)2 attain minimum value ?

tan2 x = $\frac{q}{p}$

cot2 x = $\frac{q}{p}$

tan2 x = pq

cot2 x = pq

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Where does the function f(x) = $\displaystyle\sum_{j=1}^7$(x − j)2 attain its minimum value ?

x = 3.5

x = 4

x = 4.5

x = 5

NDA Mathematics 4 September 2022

MCQ (Single Correct Answer)

+2.5

-0.83

Consider the following statements in respect of the function f(x) = $\left\{\begin{array}{rc}|x|+1, & 0<|x| \leqslant 3 \\ 1, & x = 0\end{array}\right.$

1. The function attains maximum value only at x = 3

2. The function attains local minimum only at x = 0

Which of the statements given above is/are correct ?

1 only

2 only

Both 1 and 2

Neither 1 nor 2

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