Question

For what value of K will the equations 3x +4y +2=0 and 9x+12y +K = 0 represent coincident lines in​

Answer 1

Answer:

The value of k is 6

Step-by-step explanation:

The coincident lines are given as,

3x+4y+2=0 and 9x+12y+k=0

Comparing the equations with the general equations

a1x+b1y+c1 =0

a2x+b2y+c2=0

Then,

a1=3

b1=4

c1=2

a2=9

b2=12

c2=k

Since, the lines are coincident, then,

a1/a2=b1/b2=c1/c2

3/9=4/12=2/k

1/3=1/3=2/k

1/3=2/k

k=6

Answer 2

Answer:

Expert Answer:

For space the space lines space to space be space conincident comma space straight a subscript 1 over straight b subscript 1 equals space straight a subscript 2 over straight b subscript 2 equals space straight a subscript 3 over straight b subscript 3

So comma space 3 over 9 equals space 4 over 12 equals space 2 over straight k

rightwards double arrow space 3 over 9 equals 2 over straight k

rightwards double arrow straight k equals space fraction numerator 9 cross times 2 over denominator 3 end fraction

rightwards double arrow straight k equals space 3 cross times 2 space equals space 6