Question

Select the correct option from the given alternatives:

The equation of the line through (1, 2), which makes equal intercepts on the axes, is

Options

• x + y = 1

• x + y = 2

• x + y = 4

• x + y = 3

Answer 1

x + y = 3

Explanation;

Let the equation of required line be

`x/"a" + y/"b"` = 1    ...(i)

Since the line makes equal intercepts on the axes,

a = b

∴ `x/"a" + y/"a"` = 1

∴ x + y = a   ...(ii)

But, equation (ii) passes through (1, 2).

∴ 1 + 2 = a

∴ a = 3

Substituting a = 3 in equation (ii), we get

x + y = 3