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49. If [x^2-2x + a] = 0 has no solution ...

49. If `[x^2-2x + a] = 0 `has no solution then

A

`-oo lt a lt 1`

B

`2 le a lt oo`

C

`1 lt a lt 2`

D

` a in R`

Text Solution

Verified by Experts

The correct Answer is:
B
Case (i)
`x^(2)-2x+a lt 0 AA x in R` which not possible
`x^(2)-2x +a ge 1`
`x^(2)-2x +a-1 ge 0`
Disc `le 0`
`4-4(a-1) le 0`
`2-a le 0`
`a ge 2`
` a in [2, oo)`
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