On comparing the ratios a1/a2, b1/b2, c1/c2 find out wheather the lines responding the following pair of linear equation intersect at a point are parallel or coincident
a) 5x-4y+8=0
7x+6y-9=0
b) 6x-3y+10=0
2x-y+9=0
Answers
Step-by-step explanation:
a) 5x - 4y + 8 =0
7x + 6y - 9 = 0
compare the equation
a1x + b1y + c1 =0
a2x + b2y + c2 = 0
a1 =5 , b1= -4 c1=8
a2 = 7 b2=6 c2= -9
a1/a2 = 5/7
b1/b2 = -4/6 =
c1/C2 = 8/-9
a1/a2 not equal to b1/b2
both are intersecting line at a point
.b) 6x - 3y + 10 = 0
2x - y + 9 = 0
compare the equation
a1x + b1y + c1 = 0
a2x + b2y + C2 = 0
therefore a1 = 6 , b1 = -3 , c1 = 10
a2 = 2 b2 = -1 , c2 = 9
a1 /a2 = b1/b2 = 3/1
b1 / b2 = -3/-1 = 1/2
c1/C2 = 12/24 = 1/2
therefore a1/a2 = b1/b2 not equal to c1/c2
hence lines are parallel
hope it is helpful... .