In the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0,a1a2=b1b2≠c1

1.	In the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0,a1a2=b1b2≠c1c2Statement 1 : This is an inconsistent pair of linear equations.Statement 2 : There exists infinitely many solutions.Statement 3 : The lines representing these linese are parallel.Which of the above statements is/are true?
Answer» In the pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ , $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$ Statement 1 : This is an inconsistent pair of linear equations. Statement 2 : There exists infinitely many solutions. Statement 3 : The lines representing these linese are parallel. Which of the above statements is/are true?

In the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0,a1a2=b1b2≠c1c2Statement 1 : This is an inconsistent pair of linear equations.Statement 2 : There exists infinitely many solutions.Statement 3 : The lines representing these linese are parallel.Which of the above statements is/are true?

Answer»

In the pair of equations $a_{1} x + b_{1} y + c_{1} = 0$ and $a_{2} x + b_{2} y + c_{2} = 0$ ,

$\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$

Statement 1 : This is an inconsistent pair of linear equations.

Statement 2 : There exists infinitely many solutions.

Statement 3 : The lines representing these linese are parallel.

Which of the above statements is/are true?

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In the pair of equations a1x+b1y+c1=0 and a2x+b2y+c2=0,a1a2=b1b2≠c1c2Statement 1 : This is an inconsistent pair of linear equations.Statement 2 : There exists infinitely many solutions.Statement 3 : The lines representing these linese are parallel.Which of the above statements is/are true?

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