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Let the tangent drawn to the parabola y 2 = 24 x at the point ( α , β ) is perpendicular to the line 2x + 2y = 5. Then the normal to the hyperbola 2 2 x α – 2 2 y β = 1 at the point ( α + 4, β + 4) does NOT pass through the point

1. (25, 10)
2. (20, 12)
3. (30, 8)
4. (15, 13)

Correct answer: (15, 13)

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