Find the number of lines which pass through the point
(5 ,5) and the sum of whose
intercepts on the co-ordinate axes is zero.
Answers
Answer:Single line through (0,0)
Step-by-step explanation:
y = x is the line which pass through the point ( 5 , 5) and sum of whose intercepts on the co-ordinate axes is zero.
Step-by-step explanation:
Let say line which passes through ( 5 , 5) is
y = mx + c
=> 5 = m(5) + c
=> c = 5 - 5m
=> y = mx + 5 - 5m
point at y axis = ( 0 , 5 - 5m)
point at x axis ( (5m - 5)/m , 0)
5 - 5m + 5 - 5/m = 0
=> 5m - 5m² + 5m - 5 = 0
=> -5m² + 10m - 5 = 0
=> m² - 2m + 1 = 0
=> (m - 1)² = 0
=> m = 1
y = x is the line which pass through the point ( 5 , 5) and sum of whose
intercepts on the co-ordinate axes is zero.
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