Q.

If x2-2x+a=0 has no solution then, where [.] represents greatest integer function,

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a

-∞

b

2≤a<∞

c

1

d

a∈R

answer is B.

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Detailed Solution

Case (i)x2-2x+a<0∀x∈R which not possiblecase 2x2-2x+a≥1x2-2x+a-1≥0Disc  ≤04-4a-1≤02-a≤0a≥2a∈2,∞
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If x2-2x+a=0 has no solution then, where [.] represents greatest integer function,