Question

For what value of ′′ , do the equations + 2 = 4 and 3 + = 12 represent

coincident lines?​

Answer 1

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

$\alpha {}^{1}x + \beta ^{1y + }c {}^{1} \: equlal \: to \: 0 \\ \\ \alpha {}^{2}x + \beta {}^{2}y + c {}^{2} equal \: to \: \:$

Then,

$\alpha {}^{1} \:equal \: to \: 3 \: comma \: \beta {}^{1} equals \: to \: 4 \: comma \: c {}^{1} equals \: to \: 2 \: comma \: \alpha {}^{2} equals to \: 9$