Question

The equation of line AB is x + 8 = 0. The slope of the line OP which bisects angle O, is ______.

Options

• 1

• −1

• 0

• 2

Answer 1

The equation of line AB is x + 8 = 0. The slope of the line OP which bisects angle O, is 1.

Explanation:

Given,

Line OP bisects angle O.

Since, ∠O = 90°.

∴ OP makes 45° with x-axis.

From figure,

OP lies in the third quadrant.

Since, tan is positive in third quadrant.

Slope = tan 45° = 1.