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  • If the lines 4x+3y=1 ,y=x+5 and 5y+bx=3 are concurrent , then b equals

If the lines 4x+3y=1 ,y=x+5 and 5y+bx=3 are concurrent , then b equals

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Solution: If these lines are concurrent , then the intersection point

of the lines \ 4x+3y=1 ; and ; y=x+5 is (-2,3) , which lies on the third line

Hence,

\ 5 imes 3-2 imes b=3\ \Rightarrow 15-2b=3Rightarrow 2b=12\ \Rightarrow b=6

Posted by

Deependra Verma

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