Roots in a given ratio: find the parameter or the condition

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

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1. A.
   $5\sqrt{10}$
2. B.
   $\frac{5\sqrt{10}}{12}$
3. C.
   $\frac{5}{12}$
4. D.
   $\frac{12}{5}$

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1. A.
   $b^2 = a(c + 1)^2$
2. B.
   $a^2 = b(c + 1)^2$
3. C.
   $b^2 = a(c - 1)^2$
4. D.
   $ab^2 = (c + 1)^2$

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