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MHT CET2010MathematicsHyperbola

If e₁ and e₂ represent the eccentricity of the curves 16 x²-9 y²=144 and 9 x²-16 y²=144 respectively. Then, 1 e₁² + 1 e₂² is equal to

Options

  1. A0
  2. B1
  3. C2
  4. D3

Correct answer

B. 1

Step-by-step solution

Given curves are x² 9 - y² 16 =1 and x² 16 - y² 9 =1 ₁= 1+ 16 9 = 5 3 and e₂= 1+ 9 16 = 5 4 Now, 1 e₁² + 1 e₂² = 9 25 + 16 25 =1

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