Math, asked by vinolachu, 7 months ago

The Point which lies on the perpendicular bisector of the line segment joining the points P(-3,2) and B(11,-8) is​

Answers

Answered by REMYSINGH
2

Step-by-step explanation:

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Answered by tyrbylent
4

Answer:

Step-by-step explanation:

Midpoint M of the segment PB is

M(\frac{x_{1}+x_{2}}{2} ,\frac{y_{1}+y_{2}}{2}) = M(\frac{-3+11}{2},\frac{2-8}{2}) = M(4, -3)

Slope "m" of line passing through points P and B is

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-8-2}{11+3} = -\frac{5}{7}

y + 3 = -\frac{5}{7}(x - 4)

y=-\frac{5}{7}x- \frac{1}{7}

Slope of the line perpendicular to line y=-\frac{5}{7}x- \frac{1}{7} is opposite reciprocal to -\frac{5}{7} ; m = \frac{7}{5} and equation y=\frac{7}{5}x-\frac{43}{5}

Any point which lies on the perpendicular bisector satisfies the equation

y=\frac{7}{5}x-\frac{43}{5}

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