Day 101: MHT-CET Maths

1. A.
   $\dfrac{1}{k}\log 3$
2. B.
   $-\dfrac{1}{k}\log 3$
3. C.
   $k\log\left(\dfrac{1}{3}\right)$
4. D.
   $\dfrac{1}{k}\log\left(\dfrac{3}{2}\right)$

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1. A.
   $\dfrac{1}{3}\log\left|\dfrac{\sqrt{1 - x^3} + 1}{\sqrt{1 - x^3} - 1}\right| + c$
2. B.
   $\dfrac{1}{3}\log\left|\dfrac{\sqrt{1 - x^3} - 1}{\sqrt{1 - x^3} + 1}\right| + c$
3. C.
   $\dfrac{1}{3}\log\left|\dfrac{\sqrt{1 - x^3} - 1}{\sqrt{1 - x^3} - 1}\right| + c$
4. D.
   $\dfrac{2}{3}\log\left|\dfrac{\sqrt{1 - x^3} - 1}{\sqrt{1 - x^3} + 1}\right| + c$

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

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1. A.
   $\dfrac{1}{\sqrt{26}}$
2. B.
   $\dfrac{1}{26}$
3. C.
   $\sqrt{26}$
4. D.
   $26$

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

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