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If 2sin2π8 is a root of the equation x2 + ax +b= 0, where a and b are rational numbers, then a - b is equal to

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a
52
b
32
c
12
d
12

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detailed solution

Correct option is A

2sin2π8=1cosπ4=112=212 (irrationalroot
So, other root is 2+12
sum of roots =a=112+1+12=2a=2
Productof roots  =112=12=b 
ab=212=52

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