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Let a,b in R be such that the equation a...

Let `a,b in R` be such that the equation `ax^2-2bx+15=0` has repeated roots `alpha` if `alpha and beta` are the roots of the equation `x^2-2bx+21=0` then `alpha^2+beta^2` is equal to :

A

37

B

58

C

68

D

92

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