Day 346: MHT-CET Maths

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

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

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

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

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1. A.
   $\ \frac{1}{2}\begin{bmatrix} 2 & 3 \\ 1 & - 1 \end{bmatrix}$
2. B.
   $\frac{1}{2}\begin{bmatrix} 3 & 1 \\ 2 & 4 \end{bmatrix}$
3. C.
   $\frac{1}{2}\begin{bmatrix} - 1 & 3 \\ 1 & 2 \end{bmatrix}$
4. D.
   $\frac{1}{6}\begin{bmatrix} 1 & 1 \\ 2 & 3 \end{bmatrix}$

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