Value of the constant for which a given line touches an ellipse or a hyperbola (condition c^2 = a^2m^2 +/- b^2)

1. A.
   $\pm 36$
2. B.
   $\pm 25$
3. C.
   $\pm 16$
4. D.
   $\pm 9$

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1. A.
   $\pm 3\sqrt{2}$
2. B.
   $\pm 4\sqrt{2}$
3. C.
   $\mp 8\sqrt{2}$
4. D.
   $\mp 12\sqrt{2}$

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1. A.
   $\pm\sqrt{551}$
2. B.
   $\pm 3\sqrt{551}$
3. C.
   $\pm 5\sqrt{551}$
4. D.
   $\pm 7\sqrt{551}$

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