Question
If the roots of the equation ax2+bx+c=0 beα and β,, then the roots of the equation cx2+bx+a=0 are
Answer: Option C
:
C
α,β are roots ofax2+bx+c=0
⇒α+β= −baandαβ=ca
Let the roots of cx2+bx+a=0 be α',β', then
α ' + β '=−bcandαβ=ac
but α+βαβ=−baca=−bc1α+1β=α′+β′
Hence α′=1αandβ′=1β
Was this answer helpful ?
:
C
α,β are roots ofax2+bx+c=0
⇒α+β= −baandαβ=ca
Let the roots of cx2+bx+a=0 be α',β', then
α ' + β '=−bcandαβ=ac
but α+βαβ=−baca=−bc1α+1β=α′+β′
Hence α′=1αandβ′=1β
Was this answer helpful ?
More Questions on This Topic :
Latest Videos
Latest Test Papers
Submit Solution