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The curves a x squared plus b y squared equals 1 and A x to the power of 2 end exponent plus B y to the power of 2 end exponent equals 1 intersect orthogonally, then

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  1. fraction numerator 1 over denominator a end fraction plus fraction numerator 1 over denominator A end fraction equals fraction numerator 1 over denominator b end fraction plus fraction numerator 1 over denominator B end fraction    
  2. fraction numerator 1 over denominator a end fraction minus fraction numerator 1 over denominator A end fraction equals fraction numerator 1 over denominator b end fraction minus fraction numerator 1 over denominator B end fraction    
  3. fraction numerator 1 over denominator a end fraction plus fraction numerator 1 over denominator b end fraction equals fraction numerator 1 over denominator B end fraction minus fraction numerator 1 over denominator A end fraction    
  4. fraction numerator 1 over denominator a end fraction minus fraction numerator 1 over denominator A end fraction equals fraction numerator 1 over denominator b end fraction plus fraction numerator 1 over denominator B end fraction    

    Answer:The correct answer is: fraction numerator 1 over denominator a end fraction minus fraction numerator 1 over denominator A end fraction equals fraction numerator 1 over denominator b end fraction minus fraction numerator 1 over denominator B end fraction

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