Day 373: MHT-CET Maths

1. A.
   $x + y + 1 = c$, where $c$ is a constant of integration
2. B.
   $x + y + 1 = ce^y$, where $c$ is a constant of integration
3. C.
   $x + y + 1 = ce^{-y}$, where $c$ is a constant of integration
4. D.
   $x + y - 1 = ce^{-y}$, where $c$ is a constant of integration

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1. A.
   $2:\sqrt{2}:(\sqrt{3}+1)$
2. B.
   $\sqrt{2}:2:(\sqrt{3}+1)$
3. C.
   $(\sqrt{3}+1):\sqrt{2}:2$
4. D.
   $2:(\sqrt{3}+1):\sqrt{2}$

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1. A.
   $\sim p \wedge (q \wedge \sim r)$
2. B.
   $\sim p \wedge (q \wedge r)$
3. C.
   $\sim p \wedge (\sim q \wedge r)$
4. D.
   $\sim p \wedge (\sim q \wedge \sim r)$

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

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1. A.
   $\frac{1-\cos x}{2y-1}$
2. B.
   $\frac{1+\cos x}{2y-1}$
3. C.
   $\frac{1-\cos x}{2y+1}$
4. D.
   $\frac{1-\sin x}{2y-1}$

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