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Let alpha and beta be the roots of quadr...

Let `alpha` and `beta` be the roots of quadratic equation `ax^(2)+bx+c=0`. Match the following columns and choose the correct answer.
`{:(" Column I"," Column II"),("(A)"alpha+beta,(1)" "(ac^(2))^(1//3)+(a^(2)c)^(1//3)+b=0),("(B)"alpha=2beta,(2)" "2b^(2)=9ac),("(C)"alpha=3beta,(3)" "b^(2)=6ac),("(C)"alpha=beta^(2),(4)" " 3b^(2)=16ac),(,(5)" "b^(2)=4ac),(,(6)" "(ac^(2))^(1//3)+(a^(2)c)^(1//3)=b):}`

A

`{:("(A)","(B)","(C)","(D)"),(5,2,4,6):}`

B

`{:("(A)","(B)","(C)","(D)"),(5,2,1,4):}`

C

`{:("(A)","(B)","(C)","(D)"),(5,4,2,6):}`

D

`{:("(A)","(B)","(C)","(D)"),(5,2,4,1):}`

Text Solution

Verified by Experts

The correct Answer is:
D
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