[quote="surupab"] Does the line with equation ax+by = c, where a,b and c are real constants, cross the x-axis?
(1) b not equal to 0
(2)ab>0[/quote]
If line passes through x axis, the y cordinate at intersection of X axis should be zero.
Rewritten, Y = (c-aX)/b
If Y = 0
(c-aX)/b = 0
Hence,
1. b should not be equal to 0
And c-aX = 0
X= c/a
2. a should not be equal to 0
From Statement 2 we can see that the product of ab is nit equal to 0, hence we know 1 and 2 aretrue.
[size=80][b] [i]Posted from my mobile device[/i] [/b] ize]
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(1) b not equal to 0
(2)ab>0[/quote]
If line passes through x axis, the y cordinate at intersection of X axis should be zero.
Rewritten, Y = (c-aX)/b
If Y = 0
(c-aX)/b = 0
Hence,
1. b should not be equal to 0
And c-aX = 0
X= c/a
2. a should not be equal to 0
From Statement 2 we can see that the product of ab is nit equal to 0, hence we know 1 and 2 aretrue.
[size=80][b] [i]Posted from my mobile device[/i] [/b] ize]
...



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