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If the parabolas y 2 = 4b(x – c) and y 2 = 8ax have a common normal, then which on of the following is a valid choice for the ordered triad (a, b, c) ?

1. (1, 1, 3)
2. (1, 1, 0 )
3. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 0 , 2 , 2 1
4. ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ 3 , 2 , 2 1

Correct answer: (1, 1, 3)

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