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MHT CET202210 Aug 2022Evening ShiftMathematicsLimitsActual

The quadratic equation whose roots are m and n , where m= _ x 0 x (1+2 x) x x and n= _ x 0 x+ ( (1+x) x ) x , is

Options

  1. Ax^2-x+2=0
  2. Bx^2-3 x+2=0
  3. Cx^2+x+2=0
  4. Dx^2+3 x+2=0

Correct answer

B. x^2-3 x+2=0

Step-by-step solution

aligned & m= _ x 0 x (1+2 x) x x = _ x 0 (1+2 x) 2 x 2 x x x x =2 & n= _ x 0 x+ ( 1+x x ) x = _ x 0 (x 1+x x ) x & = _ x 0 (1+x) x =1 aligned now, required quadratic equation is x^2-(m+n) x+m n=0 x^2-3 x+2=0

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