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Question

If the locus of the mid points of the chords of the ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction plus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1, drawn parallel to y equals m subscript 1 end subscript x is y equals m subscript 2 end subscript x then m subscript 1 end subscript m subscript 2 end subscript equals

  1. fraction numerator b to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction  
  2. fraction numerator a to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction  
  3. fraction numerator negative b to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction  
  4. fraction numerator negative a to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction  

The correct answer is: fraction numerator negative b to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction

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