Question

On comparing the ratios a1/a2 , b1/b2 , c1/c2 , find out which of the lines representing the following pairs of linear equations are parallel:
A ) 5x – 4y + 8 = 0, 7x + 6y – 9 = 0
B) 9x + 3y + 12 = 0, 18x + 6y + 24 = 0
C) 6x – 3y + 10 = 0 2x – y + 9 = 0
D) 7x - 2y =4 , 14x + 4y = 5

Answer 1

Answer:

Intersecting lines

Step-by-step explanation:

5/7=-4/6=8/9

5/7=2/3=8/9

Since,a1/a2,b1b2 are not equal to each other so it means that these are intersecting line with a unique solution

Answer 2

Answer:

B.) is right answer

Step-by-step explanation:

on compairing the ratios a1/a2, b1/b2, c1/c2

A.) 5x-4y+8 =0

7x+6y-9=0

here, a1=5, b1=-4, c1=8 and similarly a2=7 , b2=6 ,c2=-9

on compairing

a1/a2= 5/ 7 , b1/b2= -4/6 =-2/3

a1/a2 is not equal to b1/b2 . it is not parallel.

B.) using same step

a1/a2=9/18= 1/2 , b1/ b2= 3/6 =1/2 and c1/c2= 12/24=1/2

a1/a2=b1/b2=c1/c2 . Hence it is parallel.

C.) a1/a2 =6/2=3/1 , b1/b2=-3/-1= 3/1 and

c1/ c2 = 10/9

a1/a2=b1/b2 is not equal to c1/c2

D.). a1/a2=7/14=1/2 b1/b2= -2/4= -1/2

a1/a2 is not equal to b1/b2