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Given alpha and beta are the roots of th...

Given `alpha and beta` are the roots of the quadratic equation `x^(2)-4x+k=0(kne0).` If `alpha beta, alpha beta^(2)+alpha^(2)beta and alpha^(3)+beta^(3)` are in geometric progression, then the value of k is equal to

A

4

B

`(16)/(7)`

C

`(3)/(7)`

D

12

Text Solution

Verified by Experts

The correct Answer is:
B
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