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AP EAMCET2002MathematicsQuadratic Equation

The quadratic equation whose roots are l and m , where aligned & l= _ 0 ( 3 -4 ^2 ), & m= _ 0 2 (1- ^2 ) , is aligned

Options

  1. Ax^2+5 x+6=0
  2. Bx^2-5 x+6=0
  3. Cx^2-5 x-6=0
  4. Dx^2+5 x-6=0

Correct answer

B. x^2-5 x+6=0

Step-by-step solution

We have, l= _ 0 [ 3 -4 ^2 ] Using L -hospital's rule = _ 0 3 -8 1 =3 and aligned m & = _ 0 2 (1- ^2 ) & = _ 0 2 & = _ 0 2 2 2=2 aligned The required quadratic equation is aligned & x^2-(l+m) x+l m=0 & x^2-(3+2) x+3 2=0 & x^2-5 x+6=0 & aligned

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