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Quadratic Equation and Inequalities question

2023 · 24 Jan · Shift 1 · Q32

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JEE Main
Mathematics
Quadratic Equation and Inequalities
2023 · 24 Jan · Shift 1 · Q32

Quadratic Equation and Inequalities question

2023 · 24 Jan · Shift 1 · Q32

JEE MainMathematicsQuadratic Equation and InequalitiesMCQ+4 / −1

The equation

{x^2} - 4x + [x] + 3 = x[x]

, where

[x]

denotes the greatest integer function, has :

A
exactly two solutions in ( $-\infty,\infty$ )
B
no solution
C
a unique solution in ( $-\infty,\infty$ )
D
a unique solution in ( $-\infty,1$ )

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