Day 408: MHT-CET Maths

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

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

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1. A.
   $y + x^2\tan^{-1}\frac{x}{2} + c = 0$, where c is a constant of integration.
2. B.
   $y + x\tan^{-1}x + c = 0$, where c is a constant of integration.
3. C.
   $y - x - \tan^{-1}x + c = 0$, where c is a constant of integration.
4. D.
   $y = \frac{x^2\tan^{-1}x}{2} - \frac{1}{2}x + \tan^{-1}x + c$, where c is constant of integration.

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1. A.
   0.000856
2. B.
   0.856
3. C.
   0.0000856
4. D.
   0.00856

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1. A.
   13
2. B.
   2
3. C.
   3
4. D.
   12

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