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Jee Main 2025 — Medium JEE math MCQ

Let the foci of a hyperbola be \((1, 14)\) and \((1, -12)\). If it passes through the point \((1, 6)\), then the length of its latus-rectum is
  1. A. \(\frac{24}{5}\)
  2. B. \(\frac{25}{9}\)
  3. C. \(\frac{144}{5}\)
  4. D. \(\frac{288}{5}\)

Solution

The correct option is **D**. (D. \(\frac{288}{5}\))

MATH

medium • PYQ Reworded
Question
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Let the foci of a hyperbola be (1,14)(1, 14) and (1,−12)(1, -12). If it passes through the point (1,6)(1, 6), then the length of its latus-rectum is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep