Question

8. Verify whether the point A(2,7) lies on the perpendicular bisector of the
line segment joining the points P(6,5) and QC 0,-4)? please answer my question I will mark you as a brainlist but the answer should be correct ​

Answer 1

Answer:

since it is perpendicular bisected. ..the points P and Q should lie at same distance

so by using distance formula derive an equation involving x and y variables.

you will find it as...4x+y-15=0

then see if the given point satisfies the equation

hence verified!

Answer 2

Answer:

Hence verified//

Two non vertical lines are perpendicular if and only if the product of their slopes is - 1. That is

$m1m2 = - 1 \\ \\ m1 = \frac{ - 1}{m2}$

$\frac{3}{2} = \frac{ - 1}{ \frac{3}{2} } \\ \frac{3}{2} = \frac{ - 2}{3}$