Question

-2x - 3y = 1 and 6y + 4x = -2. Do the following are co incident?? Answer fast

Answer 1

We have : -2x-3y=1 =>2x+3y+1=0 ----(i)

And 6x+4y=-2 =>6x+4y+2=0 ----(ii)

Comparing (i) with a1x+b1y+c1=0, we have:

a1=2 b1=3 c1=1

Comparing (ii) with a2x+b2y+c2=0, we have:

a2=6 b2=4 c2=2

Here, a1/a2=2/6=1/3

b1/b2=3/4

c1/c2=1/2=1/2

Comparing the ratios a1/a2, b1/b2,

a1/a2 is not equal to b1/b2

=>The graphs of linear equations intersect at one point.

Since the above criterion has not been satisfied by the given pair, their graphs are not coincident.

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