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COMEDK2012MathematicsHyperbola

The angle between two asymptotes of the hyperbola x² 25 - y² 16 =1 is

Options

  1. A⁻¹ 4 5
  2. B2 ⁻¹ 4 5
  3. C2 ⁻¹ 5 4
  4. D-2 ⁻¹ 4 5

Correct answer

B. 2 ⁻¹ 4 5

Step-by-step solution

Given, equation of hyperbola is x² 25 - y² 16 =1 Here, a²=25 a=5b²=16 b=4 Now, =2 ⁻¹ ( b a )=2 ⁻¹ ( 4 5 )

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