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Questions  

If the lines y=2x+3,  y=3x+4 and y=mx+7  are concurrent then  m=

a
6
b
-37
c
37
d
-27

detailed solution

Correct option is A

Three lines are said to be concurrent, if those three lines are passing through the same point. To get the point of intersection of two lines y=2x+3,  y=3x+4Equate both equations 2x+3=3x+4x=−1Substitute x=-1 , in the equation y=3x+4  y=3−1+4=1The point of intersection is  −1,1Since three lines are concurrent, the point −1,1 lies on the line  y=mx+7Hence, 1=−m+7m=6Therefore,m=6

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