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COMEDK2017MathematicsHyperbola

From the point (0,1) two tangents are dawn to the hyperbola 2 x²-y²=1 . If is the angle between them, then =

Options

  1. A4 3
  2. B3 4
  3. C3 2
  4. D2 3

Correct answer

A. 4 3

Step-by-step solution

Tangent with slope m is y=m x a² m²-b² It passes through (0,1) . 1= m² 2 -1 [ . Since, .a²= 1 2 , b²=1 ] aligned & 1- m² 2 -1 & m= 2 & = | 2-(-2) 1-4 |= 4 3 aligned

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