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COMEDK2017MathematicsHyperbola

If the latusrectum of a hyperbola subtends a right angle at the other focus, then its eccentricity is

Options

  1. A3 +1
  2. B2 +1
  3. C3 + 2
  4. D2

Correct answer

B. 2 +1

Step-by-step solution

4 = L S S₁ S aligned &= a (e²-1 ) 2 a e 1 &= e²-1 2 e e²-2 e-1 &=0 aligned Solving, e= 2 +1

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