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If the line y = mx + 4 is a common tangent to both parabolas y² = 4x and x² = 2by, find the value of b.
- -128
- 128
- -64
- -32
Correct answer: -128
Solution
Tangency to y² = 4x gives m = 1/4; substituting the line into x² = 2by and using the discriminant condition yields b = -128.
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