AP EAMCET Engineering 18 Sep 2020 Shift 1 Paper

The mid-point of line joining points whose position vectors are a and b is M(‌

a+b

2

) and the direction ratio vector of line joining of given points is (a−b)Let a variable point p(r) on the perpendicular bisector of AB, so MP⟂BA
⇒(r−‌

a+b

2

)⋅(a−b)=0
⇒(2r−a−b)⋅(a−b)=0