# maths

posted by .

if A=(3,5) and B=(4,1).find the equation of locus of point p which are equidistant from points A and B

• maths -

such a point must lie on the right-bisector of AB
midpoint of AB =(7/2 , 3)
slope of AB = (1-5)/(4-3) = -4
so slope of perpendicular = 1/4

equation:
y-3 = (1/4)(x-7/2)
y - 3 = (1/4)x - 7/8
y = (1/4)x +3 - 7/8
y = (1/4)x + 17/8

## Similar Questions

1. ### Maths

Given that arg((z-1)/(z-2i)) = pi/4 describe the locus of P and sketch this on an argand diagram. Show that the point (1,3) lies on this locus. I know it is an arc subtended from the points (0,2) and (1,0) but I do not know how to …
2. ### maths pleaaaase

The point X and Y are 8cm apart Draw a scale drawing of the diagram and draw the locus of points that are equidistant from both points X and Y what do they mean by equidistant Equidistant means the same distance. I'm not a teacher, …
3. ### locus

Write an equation of the locus of points a. equidistant from the x-axis and the y-axis and whose coordinates have the same sign b.equidistant from the x-axis and the y-axis and whose coordinates have the same sign Can anyone please …
4. ### math

1) The Vietnam Memorial in Washington, DC is an angular wall. If you are standing at the vertex of the angled monument and you wish to back up always staying equidistant from the side walls, describe the path you would take. 2) Describe …
5. ### Geo (locus)

I don't fully get this stuff but some of these I guessed on and some I think I;m close so will someone check/ help me please?
6. ### Pre Calc

Derive the equation of the locus of all points that are equidistant from the point F(-3,4) and the line y=-2. Leave your answer in general form. [General Form: ax^2+by^2+cx+dy+e=0]
7. ### geometry

what is the equation of the locus points equidistant from the lines y=1 and x=2
8. ### maths --plse help me..

without using set square or protacter construct 1. triangle A BC WITH AB = 5.5 CM , BC = 3.2 CM CA = 4.8 CM 2. DRAW LOCUS OF A POINT WHICH MOVES SO THAT IT IS ALWAYS A DISTANCE OF 2.5 CM FROM B. 3. DRAW LOCUS OF POINT SO THAT IT IS …
9. ### locus

if a moving point p is always equidistant from the point A(2,4) and the line y=-4, find the equation of the locus of p
10. ### Geography

Find the equation of the locus of the points that are equidistant from points (-1,0) and (1,0)

More Similar Questions