Day 326: NDA Maths

1. A.
   $\left(\dfrac{a+b+c}{3}, \dfrac{a+b+c}{3}, \dfrac{a+b+c}{3}\right)$
2. B.
   $(a, b, c)$
3. C.
   $\left(\dfrac{a}{2}, \dfrac{b}{2}, \dfrac{c}{2}\right)$
4. D.
   $\left(\dfrac{a}{3}, \dfrac{b}{3}, \dfrac{c}{3}\right)$

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1. A.
   $\theta<\frac{\pi}{6}$
2. B.
   $\frac{\pi}{6}<\theta<\frac{\pi}{4}$
3. C.
   $\frac{\pi}{4}<\theta<\frac{\pi}{3}$
4. D.
   $\frac{\pi}{3}<\theta<\frac{\pi}{2}$

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1. A.
   $-1$
2. B.
   $0$
3. C.
   $1$
4. D.
   $3$

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1. A.
   $(0,\infty)$
2. B.
   $[0,\infty)$
3. C.
   $(-\infty,\infty)$
4. D.
   $[1,\infty)$

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1. A.
   $\dfrac{x^2}{2}+c$
2. B.
   $\ln(x+e)+c$
3. C.
   $\ln(x^e+e^x)+c$
4. D.
   $\dfrac{1}{e}\ln(x^e+e^x)+c$

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