Equation of a line passing through origin is:
(a) x+y =1
(b) x=2y-4
(c) x+y=0
(d) y=x-1
Answers
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Given : Equation of lines
To Find : Equation of a line passing through origin
(a) x+y =1
(b) x=2y-4
(c) x+y=0
(d) y=x-1
Solution:
Equation of a line passing through origin
Origin ( 0 , 0)
Hence origin will satisfy the equation if line passes through origin
(a) x+y =1
0 + 0 = 1
=> 0 = 1
which is not true
(b) x=2y-4
0 = 2(0) - 4
=> 0 = -4
which is not true
(c) x+y=0
0 + 0 = 0
=> 0 = 0
TRUE
Hence x+y=0 is Equation of a line passing through origin
(d) y=x-1
0 = 0 - 1
0 = -1
which is not true
Hence correct answer is x+y=0
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