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For natural numbers m,n if left parenthesis 1 minus y right parenthesis to the power of text m  end text end exponent left parenthesis 1 plus y right parenthesis to the power of n equals 1 plus a comma y plus a squared y squared plus horizontal ellipsis horizontal ellipsis and a subscript 1 end subscript equals a subscript 2 end subscript equals 10 then (m,n) is

Maths-General

  1. (45,35)    
  2. (35,45)    
  3. (35,20)    
  4. (20,45)    

    Answer:The correct answer is: (35,45)left parenthesis 1 minus y right parenthesis to the power of m end exponent left parenthesis 1 plus y right parenthesis to the power of n end exponent equals 1 plus a y plus a subscript 2 end subscript y to the power of 2 end exponent plus horizontal ellipsis.
    rightwards double arrow open parentheses 1 minus m subscript c subscript 1 end subscript end subscript y plus m subscript c subscript 2 end subscript end subscript y to the power of 2 end exponent minus horizontal ellipsis horizontal ellipsis. close parentheses open parentheses 1 plus n subscript c subscript 1 end subscript end subscript y plus n subscript c subscript 2 end subscript end subscript y to the power of 2 end exponent plus horizontal ellipsis horizontal ellipsis. close parentheses equals 1 plus a comma y plus a subscript 2 end subscript y to the power of 2 end exponent plus horizontal ellipsis horizontal ellipsis..
    rightwards double arrow a subscript 1 end subscript equals n subscript c subscript 1 end subscript end subscript minus m subscript c subscript 1 end subscript end subscript semicolon a subscript 2 end subscript equals m subscript c subscript 2 end subscript end subscript minus m subscript c subscript 1 end subscript end subscript n subscript c subscript 1 end subscript end subscript plus n subscript c subscript 2 end subscript end subscript
    rightwards double arrow n minus m equals 10 comma m to the power of 2 end exponent plus n to the power of 2 end exponent minus m minus n minus 2 m n equals 20
    rightwards double arrow n minus m equals 10 comma left parenthesis m minus n right parenthesis to the power of 2 end exponent minus left parenthesis m plus n right parenthesis equals 20
    rightwards double arrow n minus m equals 10 comma n plus m equals 80
    rightwards double arrow m equals 35 comma n equals 45

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