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If the parabolas y² = 4b(x - c) and y² = 8a*x share a common normal, which ordered triple (a, b, c) is a valid choice?
- (1, 1, 3)
- (1, 1, 0)
- (1/2, 2, 3)
- (1/2, 2, 0)
Correct answer: (1, 1, 3)
Solution
Matching the normal lines of the two parabolas for a common nonzero slope gives a feasibility condition; only (1, 1, 3) satisfies it among the choices.
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