Mathematics

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

  1. 1

  2. -1

  3. 0

  4. 2

The equation of line AB is x + 8 = 0. The slope of the line OP which bisects angle O, is : Equation of a Line, Concise Mathematics Solutions ICSE Class 10.

Straight Line Eq

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Answer

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.

Hence, Option 1 is the correct option.

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