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If the normal to the rectangular hyperbola x*y = c² at the point with parameter t meets the curve again at the point with parameter t1, then the value of t³ * t1 is:

1. 1
2. -1
3. 0
4. none

Correct answer: -1

Solution

For the rectangular hyperbola, the normal at parameter t meets the curve again at t1 with the standard relation t³ * t1 = -1.

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