Maths-
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Question

If the tangents drawn from a point on the hyperbola x to the power of 2 end exponent minus y to the power of 2 end exponent equals a to the power of 2 end exponent minus b to the power of 2 end exponent to the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction minus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1 make angles α and β with the transverse axis of the hyperbola, then

  1. t a n space alpha minus t a n space beta equals 1    
  2. t a n space alpha plus t a n space beta equals 1    
  3. t a n space alpha t a n space beta equals 1    
  4. t a n space alpha t a n space beta equals negative 1    

The correct answer is: t a n space alpha t a n space beta equals 1

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