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The curve y = (x - 2)² - 1 meets the line x - y = 3 at two points. The tangents to the curve at these two intersection points meet each other at which point?
- (-5/2, -1)
- (-5/2, 1)
- (5/2, -1)
- (5/2, 1)
Correct answer: (5/2, -1)
Solution
The intersection x-values are 2 and 3; the tangents at (2,-1) and (3,0) meet at (5/2, -1).
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