Question

The lines represented by 2X+3y-9=0 and 4X+6y-18=0 are

Answer 1

This will have infinite number of solutions so the lines are

coincident lines.

Given:

2x+3y-9 = 0

4x+6y-18 = 0

to find

Representation of lines

Solve

here the equation form is

a1+ b1 + c1 = 0

comparing a ,b and c

a1/ a2 = 2/ 4 = 1/2

b1/ b2 = 3/ 6 = 1/ 2

c1/ c2 = -9 / - 18 = 1/ 2

so

a1/a2/= b1/ b2= c1/ c2

hence this will have infinite number of solutions so the lines are

coincident lines.

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