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The eccentricity of the hyperbola 16 x^2-9 y^2=1 is

Options

  1. A3/5
  2. B5/3
  3. C4/5
  4. D5/4

Correct answer

B. 5/3

Step-by-step solution

aligned & 16 x^2-9 y^2=1 & or x^2 ( 1 4 )^2 - y^2 ( 1 3 )^2 =1 aligned Comparing with x ^2 a ^2 - y ^2 ~b ^2 =1 aligned & a ^2= 1 16 & & ~b ^2= 1 9 & e = 1+ b ^2 a ^2 & e = 1+ 1 / 9 1 / 16 & e = 5 3 aligned

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