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COMEDK2017MathematicsHyperbola

Find the coordinates of the foci and the length of the latusrectum of the hyperbol(a) x² 9 - y² 16 =1

Options

  1. A(0, 2), 32 3
  2. B(0, 5), 32 3
  3. C( 5,0), 32 3
  4. D(0, 5), 3 32

Correct answer

C. ( 5,0), 32 3

Step-by-step solution

We have, a=3, b=4 and c= a²+b² = 9+16 =5 Therefore, the coordinates of the foci are ( 5,0) . Also, length of latusrectum = 2 b² a = 32 3

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