Day 59: MHT-CET Maths

1. A.
   $\dfrac{-1 + \sqrt{5}}{4}$
2. B.
   $\dfrac{-1 + \sqrt{5}}{2}$
3. C.
   $\dfrac{1 + \sqrt{5}}{4}$
4. D.
   $\dfrac{1 - \sqrt{5}}{4}$

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1. A.
   $\dfrac{3}{4}$
2. B.
   $\dfrac{1}{6}$
3. C.
   $\dfrac{1}{2}$
4. D.
   $-\dfrac{1}{2}$

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1. A.
   $\tan^{-1}\left(\dfrac{9x + y + 5}{2}\right) = -2x + c$
2. B.
   $\tan^{-1}\left(\dfrac{9x + y + 5}{2}\right) = 2x + c$
3. C.
   $\tan^{-1}\left(\dfrac{9x + y + 5}{3}\right) = -3x + c$
4. D.
   $\tan^{-1}\left(\dfrac{9x + y + 5}{3}\right) = 3x + c$

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1. A.
   $\dfrac{74}{125}$
2. B.
   $\dfrac{71}{125}$
3. C.
   $\dfrac{3}{5}$
4. D.
   $\dfrac{1}{2}$

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1. A.
   $24$
2. B.
   $12$
3. C.
   $8$
4. D.
   $20$

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