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Solution


Q.

The number of real solution(s) of the equation x2+3x+2=min{|x–3|,|x+2|} is :          [2025]
1 2  
2 3  
3 1  
4 0  

Ans.

(1)

In(–∞,12), |x+2| is minimum and in (12,∞), |x–3| is minimum.

From the graph, only two solutions.