Questions
If and are roots of the equation and and are roots of the equation and form an increasing GP, then the values of a and b are respectively
detailed solution
Correct option is C
∵α,β,γ,δ are in GP.Let α=A,β=Ar,γ=Ar2,δ=Ar3∵α and β are the roots of the equation x2−3x+a=0,then γ+δ=12⇒Ar2(1+r)=12 ....(ii)On solving Eqs. (i) and (ii), we get A=1,r=2⇒ α=1,β=2,γ=4,δ=8∴ a=αβ=1×2=2 and b=γδ=4×8=32Similar Questions
If the roots of the equation,
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