Day 547: MHT-CET Maths

1. A.
   (1, 3)
2. B.
   (3, 1)
3. C.
   (-1, 3)
4. D.
   (-3, 1)

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1. A.
   $\frac{2a}{b}$
2. B.
   $\frac{2b}{a}$
3. C.
   $\frac{a}{b}$
4. D.
   $\frac{b}{a}$

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1. A.
   $\frac{\pi}{4}x - x + c$
2. B.
   $\frac{\pi}{4}-\frac{x}{2}+c$
3. C.
   $\frac{\pi}{4}x-\frac{x^2}{4}+c$
4. D.
   $\frac{\pi}{4}x+\frac{x^2}{4}+c$

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1. A.
   $\frac{1}{\sqrt{2}} < x \leq 1$
2. B.
   $0 \leq x \leq \frac{1}{\sqrt{2}}$
3. C.
   $-1 \leq x < \frac{1}{\sqrt{2}}$
4. D.
   $x > 0$

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1. A.
   $\frac{1}{b^3}\left[a+bx+2a\log|a+bx|-\frac{a^2}{a+bx}\right]+c$
2. B.
   $\frac{1}{b^3}\left[a+bx-2a\log|a+bx|+\frac{a^2}{a+bx}\right]+c$
3. C.
   $\frac{1}{b^3}\left[a+bx-2a\log|a+bx|-\frac{a^2}{a+bx}\right]+c$
4. D.
   $\frac{1}{b^3}\left[a+bx+2a\log|a+bx|+\frac{a^2}{a+bx}\right]+c$

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