Day 270: NDA Maths

1. A.
   1 only
2. B.
   2 only
3. C.
   Both 1 and 2
4. D.
   Neither 1 nor 2

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1. A.
   $4\pi\sqrt{3}/27$
2. B.
   $8\pi\sqrt{3}/27$
3. C.
   $4\pi$
4. D.
   $8\pi$

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1. A.
   0
2. B.
   0.5
3. C.
   1
4. D.
   1.5

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1. A.
   $\theta\sec\theta$
2. B.
   $\theta\sec^2\theta$
3. C.
   $\theta\sec^3\theta$
4. D.
   $2\tan\theta+\theta\sec^2\theta$

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1. A.
   $[0,\infty)$
2. B.
   $[0.5, \infty)$
3. C.
   $[1, \infty)$
4. D.
   $(-\infty, 0.5]$

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1. A.
   $-\tan\frac{x}{2} + c$
2. B.
   $-\cot\frac{x}{2} + c$
3. C.
   $\tan\frac{x}{2} + c$
4. D.
   $\cot\frac{x}{2} + c$

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1. A.
   $\frac{r\sin\beta}{\sin(\alpha/2)}$
2. B.
   $\frac{r\sin\beta}{\sin(\alpha/4)}$
3. C.
   $\frac{r\sin(\beta/2)}{\sin\alpha}$
4. D.
   $\frac{r\sin\alpha}{\sin(\beta/2)}$

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1. A.
   $7$
2. B.
   $13$
3. C.
   $17$
4. D.
   $26$

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1. A.
   $7$
2. B.
   $13$
3. C.
   $17$
4. D.
   $26$

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