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Let the foci of a hyperbola be \((1, 14)\) and \((1, –12).\) If it passes through the point \((1, 6),\) then the length …

Q1

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 :

[JEE Main 2025, 22 Jan (Shift 1)]

a

\(\frac{25}{6}\)

b

\(\frac{24}{5}\)

c

\(\frac{288}{5}\)

d

\(\frac{144}{5}\)

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