1
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
Let f(x) be a function such that f'(x) = g(x) and f''(x) = −f(x). Let h(x) = {f(x)}2 + {g(x)}2. Then consider the following statements :
1. h'(3) = 0
2. h(1) = h(2)
Which of the statements given above is/are correct ?
2
NDA Mathematics 4 September 2022
MCQ (Single Correct Answer)
+2.5
-0.83
If y = ln2$\left(\frac{x^2−x+1}{x^2+x+1}\right)$, then what is $\frac{\text{dy}}{\text{dx}}$ at x = 0 equal to ?
3
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?
4
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 ?
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Total Questions
Mathematics
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