# Let #P(a,b) and Q(c,d)# be two points in the plane. Find the equation of the line #l# that is the perpendicular bisector of the line segment #bar(PQ)#?

##### 2 Answers

Equation of line

#### Explanation:

A line which is perpendicular bisector of the line joining

If,

If,

#### Explanation:

Let

The slope of

Form for

**Case : 1 : #a=c, b!=d# :-**

If, **vertical** , i.e., parallel to the Y-axis,

and, so, the reqd. line **horizontal** , i.e., parallel to the X-

axis passing through

be

**Case : 2 : #b=d, a!=c# :-**

In this case, the eqn. of

In both of the Cases, eqn. of

Finally, the Case

Enjoy Maths.!