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JEE Main202522 Jan 2025Morning ShiftMathematicsHyperbolaActual

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 :

Options

  1. A24 5
  2. B25 6
  3. C144 5
  4. D288 5

Correct answer

D. 288 5

Step-by-step solution

aligned & be =13, ~b =5 & a ^2= b ^2 ( e ^2-1 ) & = b ^2 e ^2- b ^2 & =169-25=144 & ( LR )= 2 a ^2 ~b = 2 144 5 = 288 5 aligned

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