JEE Main 2024 Mathematics question
Let e₁ be the eccentricity of the hyperbola and e₂ be the eccentricity of the ellipse , a > b, which passes through the foci of the hyperbola. If e₁e₂ = 1, then the length of the chord of the ellipse parallel to the x-axis and passing through (0, 2) is:
Answer: (A)
Solution
For the hyperbola e₁ = √(16 + 9)/4 = 5/4 and its foci are (±5, 0). So e₂ = 4/5. The ellipse passes through (±5, 0), so a² = 25, and
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