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

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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?

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

Solution

Point (3, 12) lies on the line passing through it.

$\therefore \text{Solution is}x=3,y=12$

And the possible equation can be

$x+y=153x-y+3=0$

An infinite number of such lines are possible because infinite lines can pass through a given point.

Mathematics

RD Sharma

Standard IX