Slopes of a homogeneous pair in a given ratio (use the sum and product of slopes)

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

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

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1. A.
   $\frac{9}{4}$
2. B.
   $\frac{4}{9}$
3. C.
   $\frac{27}{4}$
4. D.
   $\frac{4}{27}$

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1. A.
   4
2. B.
   2.5
3. C.
   5
4. D.
   1

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1. A.
   1:2
2. B.
   2:1
3. C.
   9:8
4. D.
   8:9

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1. A.
   $m_{1} = m_{2}^{2}$
2. B.
   $m_{1} = 4{\text{ }m}_{2}$
3. C.
   $\left| m_{1} - m_{2} \right| = 2$
4. D.
   $\ m_{1}{\text{ }m}_{2} = 1$

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1. A.
   $\pm \frac{7}{2}$
2. B.
   $\pm \frac{1}{2}$
3. C.
   $\pm \frac{5}{2}$
4. D.
   $\pm \frac{2}{5}$

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1. A.
   $1 : 2$
2. B.
   $2 : 1$
3. C.
   $8 : 9$
4. D.
   $9 : 8$

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

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1. A.
   $\dfrac{2ab}{3}$
2. B.
   $\dfrac{3ab}{2}$
3. C.
   $\dfrac{24ab}{25}$
4. D.
   $\dfrac{25ab}{24}$

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