Day 505: MHT-CET Maths

1. A.
   $\left( 0,\frac{1}{2} \right)$
2. B.
   $\left( \frac{- 2}{5},0 \right)$
3. C.
   $\left( \frac{1}{2},\frac{\sqrt{5}}{2} \right)$
4. D.
   $\left( \frac{- 1}{2},0 \right)$

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1. A.
   $e-\frac{e^2}{2}-\frac{5}{2}$
2. B.
   $e+\frac{e^2}{2}-\frac{3}{2}$
3. C.
   $e-\frac{e^2}{2}-\frac{3}{2}$
4. D.
   $e+\frac{e^2}{2}+\frac{5}{2}$

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

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

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1. A.
   $\ 5x - 4y + z = 22$
2. B.
   $\ 5x - 3y + z = 19$
3. C.
   $5x - 3y - z = 19$
4. D.
   $5x - 4y - z = 22$

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