Question

Which of the following lines cut the positive x-axis and positive y-axis at equal distances from the origin?

Options

• 3x + 3y = 6

• 5x + 10y = 10

• – x + y = 1

• 10x + 5y = 5

Answer 1

3x + 3y = 6

Explanation:

For ax + by = c the x‑intercept = `c/a` and y‑intercept = `c/b`. so, they are equal only when a = b and `c/a > 0`. 

Here, 3x + 3y = 6 has equal coefficients a = b = 3, giving intercepts `6/3 = 2` on both axes, so the positive x‑ and y‑intercepts are equal.