Math, asked by SUMANTH23803, 1 year ago

Two straight paths are represented by the equations x-3y =2 & -2x + 6y =5 ,check whether the paths cross each other or not.

Answers

Answered by Gautam22121998
0
no they will not intersect at any point...
you can check it by using determinant method
Answered by mysticd
15
Hi ,

x - 3y -2 = 0 ---( 1 )

-2x + 6y - 5 = 0 ---( 2 )

Compare above equations with

a1 x + b1y + c1 = 0 and

a2 x + b2 y + c2 = 0 ,

a1 = 1 , b1 = -3 , c1 = -2 ,

a2 = -2 , b2 = 6 , c2 = -5 ,

a1/a2 = 1/( -2 ) = -1/2 ---( 3 )

b1/b2 = -3/6 = -1/2 -----( 4 )

c1/c2 = -2/(-5 ) = -2/5 ---( 5 )

Therefore ,

a1/a2 = b1/b2 ≠ c1/c2

above equations are parallel to each other.

I hope this helps you.

: )
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