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  • If the point lies between the lines <img alt="\mathrm{|x+

If the point \mathrm{P(\alpha, \alpha)} lies between the lines \mathrm{|x+y|=2}, then
 

Option: 1

|\alpha|=1

 


Option: 2

|\alpha|<1
 


Option: 3

|\alpha|>1
 


Option: 4

|\alpha|<2


Answers (1)

best_answer

From the figure, point \mathrm{P(\alpha, \alpha)} lies on \mathrm{y=x}. It is a point in between \mathrm{x+y=2} and \mathrm{x+y=-2.} if \mathrm{-1<\alpha<1}
\mathrm{(as\: \: A \: \: is\: \: (1,1) \: \: and\: \: B \: \: is \: \: (-1,-1) ). }

Hence option 2 is correct.

Posted by

HARSH KANKARIA

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