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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

If the equations x^3-5 x^2+7 x-a=0 and x^3-8 x+b=0 have 2 common roots, then: [Note: [.] denotes the greatest integer function.]

Options

  1. A₄ (a^3+b^2-1 ) is equal to 2 .
  2. B₀^ ( a x) d x= - 2 2
  3. C_ x 0 ( [ a^2 x x ]+ [ b^2 x x ] ) is equal to 12
  4. D⁻¹( (a+b)) is equal to 6-2 .

Correct answer

C. _ x 0 ( [ a^2 x x ]+ [ b^2 x x ] ) is equal to 12

Step-by-step solution

Subtracting the given two equations. aligned & + =3 & + +x₁=5 & + +x₂=0 & x₁=2 ; x₂=-3 aligned Put x₁ and x₂ array ll & 8-20+14-a=0 a=2 & b=3 . array

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