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Q.

If a=1+(3−1)+(3−1)2+(3−1)3+.............  and a b=1. Then a and b are the roots of the equation

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a

x2−4x=0

b

x2−4x−1=0

c

x2+4x+1=0

d

x2−4x+1=0

answer is D.

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Detailed Solution

a=11−(3−1)=12−3=2+3 And  ab=1 ⇒b=2−3 So, a and b are roots of x2−4x+1=0
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If a=1+(3−1)+(3−1)2+(3−1)3+.............  and a b=1. Then a and b are the roots of the equation