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Question -

Give the equations of two lines passing through (3, 12). How many more such lines are there, and why?



Answer -

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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