Give the equations of two lines passing through (3, 12). How many more such lines are there, and why?
Give the equations of two lines passing through (3, 12). How many more such lines are there, and why?
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The equation of two lines passing through
(3, 12) are
4x - y = 0
3x - y + 3 = 0
There are infinitely many lines passing through (3, 12).
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Since a = 3 and b = 12 is the solution of required equations. So we have to find the set of any two equations which satisfy this point.
Consider 4a – b = 0 and 3a – b + 3 = 0 set of lines which are passing through (3, 12).
We know, infinite lines can be pass through a point. So, there are infinite lines passing through (3, 12).
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