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Find the locus of the point of intersection of the tangents drawn at points with eccentric angles phi and (pi/2 - phi) on the hyperbola x²/a² - y²/b² = 1.
- y = b
- x = a
- x = ab
- y = ab
Correct answer: y = b
Solution
Writing both tangents and subtracting eliminates the parameter to give y/b = 1, so the locus is the line y = b.
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