Which of the following straight line is perpendicular to each other? a. 2x+y=8 b. x=4 c. y=6 d. 2y=x+3

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Rama krishna

  • Jul 3rd, 2007
 


hi..
2x+y=8 and 2y=x+3 are perpendiculr to each other...(slope of a line ax+by=c is -b/a)
bcz slope of 2x+y=8 is -1/2 and slope of 2y=x+3 is -2
now consider their product=-1/2*2=-1
hence perpendicular...(if product of slopes of  two lines is eqal to -1 then the lines are perpendicular)


and also x=4 and y=6 are perpendicular
bcz x=4 is parallal to Y-axis and y=6 is parallel to X-axis..

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