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The equation \(x^2-4 x+[x]+3=x[x]\), where \([x]\) denotes the greatest integer function, has: [JEE Main 2023, 24 Jan (S…

Q1

The equation \(x^2-4 x+[x]+3=x[x]\), where \([x]\) denotes the greatest integer function, has:

[JEE Main 2023, 24 Jan (Shift 1)]

a

Exactly two solutions in \((-\infty, \infty)\)

b

No solution

c

A unique solution in \((-\infty, 1)\)

d

A unique solution in \((-\infty, \infty)\)

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