Parallel And Perpendicular With Real Life Examples

Parallel Lines :
In geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel.

Perpendicular Lines :
Perpendicular means "at right angles". A line meeting another at a right angle, or 90° is said to be perpendicular to it.

1. Name : Md. Toufiq Elahi ID : 153002030 Department : Computer Science and Engineering(CSE)

2. Topics Parallel & Perpendicular

3. Parallel Lines : In geometry,  parallel lines  are  lines  in a plane which do not meet; that is, two  lines  in a plane that do not intersect or touch each other at any point are said to be  parallel . Example : Parallel lines in real life

4. Perpendicular Lines : Perpendicular  means "at right angles". A  line  meeting another at a right angle, or 90° is said to be  perpendicular  to it. Example : Perpendicular lines in real life

5. Find the equation of line passing through(-5, 6) and a) Parallel, b) Perpendicular, to 7x-8y=9 ? a ) Solution Parallel Line : Given that, 7x-8y=9 =>7x-8y-9=0 -----------(1) (1)Let the equation of the state line parallel to (1) be, 7x-8y-k=0 ----------------(2 ) Since (2) passes through (-5, 6) so we get, 7(-5)-8(6)- k=0 =>-35 -48-k=0 :. K=-83 The required equation is, 7x-8y-(-83)=0 =>7x-8y+83=0 (Answer.)

6. b) Solution perpendicular Line : Let the equation of straight line perpendicular to (1) be, 8x-7y-k=0 ------------------(3) Since (3) passes through (-5, 6) so we get, 8(-5)+7(6)-k=0 =>-40+42-k=0 :. K=2 S0 the required equition is, 8x+7y-2=0 (Answer.)

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