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Question

The line y = 2x + c touches the ellipse fraction numerator x to the power of 2 end exponent over denominator 16 end fraction plus fraction numerator y to the power of 2 end exponent over denominator 4 end fraction equals 1 if c is equal to

  1. 0    
  2. ± 2 square root of 17    
  3. c = ± square root of 15    
  4. c = ± square root of 17.    

The correct answer is: ± 2 square root of 17

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