Maharashtra State BoardHSC Arts 12th Board Exam
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Find the separate equations of the lines represented by the equation 3x^2-10xy-8y^2=0 - Mathematics and Statistics

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Sum

Find the separate equations of the lines represented by the equation ` 3"x"^2-10"xy"-8"y"^2=0`

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Solution

Given pairs of lines `3"x"^2-10"xy"-8"y"^2=0`

`3"x"^2-12"xy"+2"xy"-8"y"^2=0`

`3"x"("x"-4"y")+2"y"("x"-4"y")=0`

`("x"-4"y")(3"x"+2"y")=0`

Separated equations

`3"x"+2"y"=0   and  "x"-4"y"=0`

Concept: Equation of a Line in Space
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