Write the equation of perpendicular bisector of line joining A(4,2) and  B(-3,-5)

Asked by lovemaan5500 | 21st Feb, 2018, 06:13: AM

Expert Answer:

begin mathsize 16px style straight A left parenthesis 4 comma 2 right parenthesis space and space straight B left parenthesis negative 3 comma negative 5 right parenthesis
Slope space of space the space line equals fraction numerator negative 5 minus 2 over denominator negative 3 minus 4 end fraction equals 1
Slope space of space the space perpendicular space bisector equals negative 1
As space lines space are space perpendicular space then space product space of space slopes space is space minus 1.
Mid space point space of space AB equals open parentheses fraction numerator 4 minus 3 over denominator 2 end fraction comma fraction numerator 2 minus 5 over denominator 2 end fraction close parentheses equals open parentheses 1 half comma fraction numerator negative 3 over denominator 2 end fraction close parentheses
Equation space of space perpendicular space bisector space is
straight y minus straight y subscript 1 space equals straight m open parentheses straight x minus straight x subscript 1 close parentheses
straight y minus open parentheses fraction numerator negative 3 over denominator 2 end fraction close parentheses equals negative 1 open parentheses straight x minus 1 half close parentheses
2 straight y plus 3 equals negative 2 straight x plus 1
2 straight x plus 2 straight y plus 2 equals 0
straight x plus straight y plus 1 equals 0 end style

Answered by Sneha shidid | 21st Feb, 2018, 09:03: AM