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Give the equations of two lines passing through (3, 12). How many more such lines are there,
and why?
The equation of two lines passing through
(3, 12) are
` 4x - y = 0 `
` 3x - y + 3 = 0 ` ............. (1)
There are infinitely many lines passing through (3, 12)
Concept: Solution of a Linear Equation
Is there an error in this question or solution?
Text Solution
Solution : "Solution<br>Given point is `'(3,12)'`<br>⟹`'x=3,y=12'`<br>The lines formed can be `x+y=3+12=15,x−y=3−12=−9`<br> The two lines passing through `(3,12)` are `x+y=15,x−y=−9`<br> Also `y=4x,5x−y=3`,⋯ lines passes through '`(3,12)`'<br> There are infinitely many lines passing through `'(3,12)'`. Since many lines can be drawn through a given point "
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