jee-main 2023 Q72

jee-main · India · session1_24jan_shift1 Solving quadratics and applications Counting solutions or configurations satisfying a quadratic system
The equation $x ^ { 2 } - 4 x + [ x ] + 3 = x [ x ]$, where $[ x ]$ denotes the greatest integer function, has:
(1) exactly two solutions in $( - \infty , \infty )$
(2) no solution
(3) a unique solution in $( - \infty$, 1)
(4) a unique solution in $( - \infty , \infty )$ 
The equation $x ^ { 2 } - 4 x + [ x ] + 3 = x [ x ]$, where $[ x ]$ denotes the greatest integer function, has:\\
(1) exactly two solutions in $( - \infty , \infty )$\\
(2) no solution\\
(3) a unique solution in $( - \infty$, 1)\\
(4) a unique solution in $( - \infty , \infty )$
Paper Questions
Q21 Q61 Q62 Q63 Q64 Q65 Q66 Q67 Q68 Q69 Q70 Q71 Q72