Day 24: MHT-CET Maths

1. A.
   $2\dfrac{2}{9}$
2. B.
   $2\dfrac{2}{7}$
3. C.
   $2\dfrac{2}{5}$
4. D.
   $2\dfrac{2}{3}$

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1. A.
   $6$
2. B.
   $9$
3. C.
   $12$
4. D.
   $3$

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1. A.
   $x = n\pi + (-1)^n\left(\dfrac{\pi}{3}\right), \quad n \in Z$
2. B.
   $x = n\pi + (-1)^{n+1}\left(\dfrac{\pi}{2}\right), \quad n \in Z$
3. C.
   $x = n\pi + (-1)^n\left(\dfrac{\pi}{4}\right), \quad n \in Z$
4. D.
   $x = n\pi + (-1)^n\left(\dfrac{\pi}{6}\right), \quad n \in Z$

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1. A.
   $\tan\left(\dfrac{\pi}{4} + \theta\right)$
2. B.
   $\tan\left(\dfrac{\pi}{4} - \theta\right)$
3. C.
   $\sec 2\theta$
4. D.
   $\csc 2\theta$

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1. A.
   $\dfrac{x + 1}{2} = y + 2 = \dfrac{z + 3}{3}$
2. B.
   $\dfrac{x - 1}{2} = y - 2 = \dfrac{z - 3}{3}$
3. C.
   $\dfrac{x - 1}{2} = y - 2 = \dfrac{z - 3}{-3}$
4. D.
   $\dfrac{x + 1}{2} = y + 2 = \dfrac{z + 3}{-3}$

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