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Most Important Selected Qs for JEE AdvancedMathematicsQuadratic Equation

If + , + and + are the roots of the equation x^3-3 x-1=0 .

Options

  1. AP 3 ; Q 4 ; R 5 ; S 2
  2. BP 4 ; Q 2 ; R 1 ; S 3
  3. CP 3 ; Q 3 ; R 2 ; S 1
  4. DP 4 ; Q 3 ; R 5 ; S 5

Correct answer

D. P 4 ; Q 3 ; R 5 ; S 5

Step-by-step solution

+ + + + + =0 + + =0 Roots of the given equation are - ,- ,- Equation whose roots are , , is x^3-3 x+1=0 (P) ^2+ ^2+ ^2=( a)^2-2 =0-2(-3)=6 (Q) ^3+ ^3+ ^3=3 =3(-1)=-3 (R) ( + + )( + - )(g+a-b)=(-2 )(-2 )(-2 )=-8(-1)=8 (S) ( ^3-3 +1 ) ( ^3-3 +1 ) ( ^3-3 +1 )=8

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