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  • The combined equation of the lines x + y + 2 = 0, y = x + 2 isOption: 1 <img alt="x^2-y^2-4x+4=0" src="https://entrancecorner.oncodecogs.co

The combined equation of the lines x + y + 2 = 0, y = x + 2 is

Option: 1

x^2-y^2-4x+4=0


Option: 2

x^2-y^2+4x-4=0


Option: 3

x^2-y^2+4x+4=0


Option: 4

None of these


Answers (1)

best_answer

Joint Equation of a Pair of Straight Line

Equation of two straight line are a1x + b1y + c1 = 0 and a2x + b2y + c2 = 0 then combined or joint equation of line will be (a1x + b1y + c1)(a1x + b2y + c2) = 0

 

Let us first re-write the given equations in standard form (with 0 on one side)

x + y + 2 = 0 and x - y + 2 = 0

\\\text{Joint Equation }\\ (x+y+2)(x-y+2)=0\\\\\Rightarrow (x+2)^2-y^2=0\\\\\Rightarrow x^2-y^2+4x+4=0

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Gaurav

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