Q. 33.7( 10 Votes )

# Find the equations of the bisectors of the angles between the coordinate axes.

Answer :

To Find: Equations of bisectors of the angles between coordinate axes.

Formula Used: The equation of line is y = mx + c

Diagram:

Explanation:

Co–ordinate axes make an angle of 90˚ with each other.

So the bisector of angles between co–ordinate axes will subtend

Now, we can see that there are two bisectors.

Angles subtended from x–axis are: 90˚ and 135˚

And there is no intercept, c = 0

Equations are:

y = tan45˚x and y = tan135˚x

y = x and y = –x

Hence, the equations of bisectors of angle between coordinate axis are y = x and y = –x

Rate this question :

Find the equation of a line which makes an angle of tan ^{– 1} (3) with the x–axis and cuts off an intercept of 4 units on the negative direction of y–axis.

Find the equation of the straight line intersecting y – axis at a distance of 2 units above the origin and making an angle of 30^{0} with the positive direction of the x–axis.

Find the equation of a line making an angle of 150° with the x–axis and cutting off an intercept 2 from y–axis.

RD Sharma - MathematicsFind the equations of the bisectors of the angles between the coordinate axes.

RD Sharma - Mathematics