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AP EAMCET202315 May 2023Morning ShiftMathematicsHyperbolaActual

The difference between the focal distances of any point on the hyperbola x^2 a^2 - y^2 b^2 =1 is 6 . If ( 13 , k) is an end point of a latus rectum of this hyperbola, then k =

Options

  1. A9 2
  2. B8 3
  3. C9
  4. D4 3

Correct answer

D. 4 3

Step-by-step solution

We have difference between foci =2 a 2 a=6 a=3 , End of focal chord is (c, b^2 a ) c= 13 c^2=a^2+b^2 13=9+b^2 b^2=4 k= b^2 a = 4 3 .

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