Question

Answer the following question:

Show that there is only one line which passes through B(5, 5) and the sum of whose intercept is zero.

Answer 1

When line is passing through origin, the sum of intercepts made by the line is zero.

Slope of line passing through origin and B(5, 5) is 

m = `(5 - 0)/(5 - 0)` = 1

∴ Equation of the line having slope m and passing through origin (0, 0) is y = mx.

∴ The equation of the required line is y = x

∴ x – y = 0

∴ There is only one line which passes through B(5, 5) and the sum of whose intercepts is zero.