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  • What is the equation of line that belongs to the family of lines (x+y+1) +  (x) = 0 and (x-y+1) +

What is the equation of line that belongs to the family of lines (x+y+1) + \lambda (x) = 0 and (x-y+1) + \lambda (y) = 0  ? 

Option: 1

x+y+1 = 0 


Option: 2

x-y +1 = 0 


Option: 3

x-y-1=0 


Option: 4

x+y-1 = 0 


Answers (1)

best_answer

For point of intersection of the first family of lines, solve x + y + 1 = 0  and x = 0 simultaneously. We get (0,-1)

And for second family, solve x - y +1 = 0 and y = 0. We get (-1, 0)

Thus a line which belongs to both the families should pass through both (0,-1) and (-1, 0)

Such a line (using two point form) is x + y + 1 = 0

Posted by

shivangi.shekhar

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