If points (0, 0) and (1, 1) passes through a line ax + by = c. Prove that a + b = 0
Given line: ax + by = c
At (0, 0)
a.0 + b.0 = c
c = 0
Therefore, the equation becomes,
ax + by = 0
At (1, 1)
a.1 + b.1 = 0
a + b = 0
Hence, proved.
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