find the separate equations of lines represented by X² - Y² + X + Y =0
Answers
Answered by
25
Answer:
x^2+x+y-y^2=0
x^2+y+x-y^2=0
x(x+y) -y(y+x) =0
Answer :- {x-y+1=0} , {x+y=0} .
Answered by
46
x + y = 0 and x - y + 1 = 0 are Separate equations of lines represented by x² - y² + x + y = 0
Given:
- Pair of Equation of line x² - y² + x + y = 0
To Find:
- Separate equations of lines
Solution:
x² - y² + x + y = 0
Step 1:
Use identity a² - b² = (a + b)(a - b)
(x + y)(x - y) + x + y = 0
Step 2:
Taking x + y common
(x + y)((x - y+ 1) = 0
Step 3:
Equate Each factor with 0
x + y = 0
x - y + 1 = 0
Hence , x + y = 0 and x - y + 1 = 0 are Separate equations of lines represented by x² - y² + x + y = 0
Similar questions