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MHT CET202123 Sep 2021Morning ShiftMathematicsTrigonometric EquationsActual

If a = b , where a , b 0 , then a 2 + b 2 =

Options

  1. Aab
  2. Ba
  3. Cb
  4. Da b

Correct answer

B. a

Step-by-step solution

aligned & a =b = b a & a 2 +b 2 & =a ( 1- ^2 1+ ^2 )+b ( 2 1+ ^2 ) & =a [ 1- ( b^2 a^2 ) 1+ ( b^2 a^2 ) ]+b [ 2 ( b a ) 1+ ( b^2 a^2 ) ]=a ( a^2-b^2 a^2+b^2 )+b ( 2 b a a^2 a^2+b^2 ) & = a (a^2-b^2 ) a^2+b^2 + b(2 a b) a^2+b^2 = a^3-a b^2+2 a b^2 a^2+b^2 & = a^3+a b^2 a^2+b^2 = a (a^2+b^2 ) a^2+b^2 =a aligned

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