Day 165: MHT-CET Maths

1. A.
   $\ (x + 2)^{2} + (y - 2)^{2} = 4$
2. B.
   $\ (x - 3)^{2} + (y - 1)^{2} = 4$
3. C.
   $\ (x - 1)^{2} + (y - 2)^{2} = 1$
4. D.
   $(x + 1)^{2} + (y + 2)^{2} = 1$

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1. A.
   $2\tan^{- 1}\left( \frac{1}{\sqrt{3}}\tan\frac{x}{2} \right) + c$, where $c$ is the constant of integration
2. B.
   $\frac{2}{\sqrt{3}}\tan^{- 1}\left( \frac{1}{\sqrt{3}}\tan\frac{x}{2} \right) + c$, where $c$ is the constant of integration
3. C.
   $\frac{1}{\sqrt{3}}\tan^{- 1}\left( \frac{1}{\sqrt{3}}\tan\frac{x}{2} \right) + c$, where c is the constant of integration
4. D.
   $\sqrt{3}\tan^{- 1}\left( \frac{1}{\sqrt{3}}\tan\frac{x}{2} \right) + c$, where $c$ is the constant of integration

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

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1. A.
   1
2. B.
   -1
3. C.
   0
4. D.
   $\frac{1}{2}$

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1. A.
   $\frac{1}{\sqrt{2}}$
2. B.
   $\frac{1}{2}$
3. C.
   $- \frac{1}{2}$
4. D.
   $- \frac{1}{\sqrt{2}}$

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