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The conic x² - (y - 1)² = 1 has a tangent of positive slope through the origin, touching at (a, b). Find the length of the latus rectum of this conic.

1. 1
2. 2
3. sqrt(2)
4. 2 sqrt(2)

Correct answer: 2

Solution

Here A² = 1, B² = 1, so latus rectum = 2*1/1 = 2.

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