Find the perpendicular bisector of `3+4iand-5+6i,wherei=sqrt(-1).`

Let ABC be a triangle and A -= (1,2) ,y = x be the perpendicular bisector of AB and x-2y+1=0 be the perpendicular bisector of angle C . If the equation of BC is given by ax+by-5 = 0 then the value of a -2b is

Show that the perpendicular bisectors of the sides of the triangle with vertices (7, 2), (5, -2) and (- 1, 0) are concurrent. Also find the co-ordinates of the point of concurrence (circumcentre).

Find the equation of the perpendicular bisector of the st. line segment whose end points are (0, 5) and (- 4,1).

A perpendicular bisector of line 12.5 cm divides the line into

For the triangle ABC whose vertices are A (-2, 3), B (4, - 3) and C (6, 5), find the equation of : the perpendicular bisector of the side BC.

The equation of the perpendicular bisector of the side AB of a triangle ABC is x - y + 5 = 0. If the point A is (1,-2), find the co-ordinates of the point B.

The perpendicular bisector of the line segment joining P (1, 4) and Q (k, 3) has yintercept -4 . Then a possible value of k is (1) 1 (2) 2 (3) -2 (4) -4

Reduce the following equations into the normal form. Find their perpendicular distance from the origin and angle between perpendicular and positive direction of x-axis. (i) x-sqrt(3)y+8=0" " (ii) x-y=4 .

Find the equation of the plane passing through the points (1,2,1) and perpendicular to the line joining the points (1,4,2) and (2,3,5), Also, find the perpendicular distance of the plane from the origin.

The line 2x-3y=4 is perpendicular bisector of the line AB. If the coordinates of A are (-3,1). Fiind the coordinates of B.