Most Important Selected Qs for JEE AdvancedMathematicsSequences and Series
Paragraph: Let Question: Let g(x)=f(x- ) , then the roots of the equation g(x)=0 are in:
Options
- AA.P.
- BG.P.
- CH.P.
- Dnone of these
Correct answer
C. H.P.
Step-by-step solution
aligned & f(x)=x^3-a x^2+b x-8 & =2 and b=2 a & = 2 p and =2 p ( p is the common ratio) & I p=-1,1,2,-2 & =-2,2,1,-1 ; =2,2,2,2 ; =-2,2,4,-4 & =1, =2, =4 and a=7 ; b=14 aligned Roots of the equation f(x- )=0 are + , 2 , + which are in H.P.