question_answer

Given two points \[A(-2,0)\]and \[B(0,4)\]. Sum of abscissa and ordinate of the point C on the line \[x-y=0\] so that perimeter of \[\Delta ABC\] is the least is

A) \[-2\]        

B) \[0\]    

C) \[1\]                        

D) \[2\]

Correct Answer: B

Solution :

[b] For perimeter of \[\Delta ABC\] to be the least \[(AC+BC)\]must be the least and hence, C should be \[(0,0)\].