Question

The intercept of a line between the coordinate axes is divided by the point (1, 3) in the ratio 3 : 1. The equation of the line will be ______

Options

• x + y = 4

• x + y + 4 = 0

• x - y = 4

• None of these

Answer 1

The intercept of a line between the coordinate axes is divided by the point (1, 3) in the ratio 3 : 1. The equation of the line will be x + y = 4.

Explanation:

Let the coordinates of axes are A (a, 0) and B(0, b), but the point (1, 3) divides the line AB in the ratio of 3: 1.

∴ the coordinates of axes are (4, 0) and (0, 4).

Therefore, the equation of the line passing through these coordinate axes is given by x + y = 4.