Question

Find equations of lines which contains
the point A(1,3) and the sum of whose
intercepts on the co-ordinate axes is zero.

Answer 1

Answer:

x - y + 2 = 0

Step-by-step explanation:

Let the equation of the line is

x/a + y/b = 1 ..... (1)

where a and b are x and y axes intercepts.

By the given condition,

a + b = 0 ..... (2)

Also given that the point A (1, 3) lies on line (1), then

1/a + 3/b = 1

or, 1/(- b) + 3/b = 1 [ by (2) ]

or, 2/b = 1

or, b = 2

Then from (2), a = - 2

So the equation of the line is

x/(- 2) + y/2 = 1

or, x - y + 2 = 0

Therefore the required line is

x - y + 2 = 0