NCERT Example 14 - Conic Sections

Question: For (i) x^2/9 - y^2/16 = 1 and (ii) y^2 - 16x^2 = 16, find foci, vertices, eccentricity, and latus rectum.

Answer: (i) Foci (+/-5, 0), vertices (+/-3, 0), e = 5/3, latus rectum = 32/3. (ii) Foci (0, +/-sqrt(17)), vertices (0, +/-4), e = sqrt(17)/4, latus rectum = 1/2.

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