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3x-y-5=0 6x-2y-p=0 Find p when given …

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3x-y-5=0 6x-2y-p=0 Find p when given lines are parellel

Posted by Zainab Parveen 6 years, 7 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 7 months ago

The given equations are
3x - y - 5 = 0 ......... (i)
6x - 2y + k = 0 .......... (ii)
The system of linear equations
a₁x + b₁y + c₁ = 0
a₂x + b₂y + c₂ = 0
Compare (i) and (ii), we get
a₁ = 3, b₁ = -1, c₁ = -5
and a₂ = 6, b₂ = -2 , c₂ = k
The equations has no solution if {tex}\frac { a _ { 1 } } { a _ { 2 } } = \frac { b _ { 1 } } { b _ { 2 } } \neq \frac { c _ { 1 } } { c _ { 2 } }{/tex}
{tex}\Rightarrow \frac { 3 } { 6 } = \frac { - 1 } { - 2 } \neq \frac { - 5 } { k }{/tex}
So,{tex}- \mathrm { k } \neq 10{/tex}
{tex} \Rightarrow \mathrm { k } \neq - 10{/tex}

0Thank You

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