Mathematics
A(1, 2), B(3, –4) and C(5, –6) are the vertices of ΔABC. Find :
(i) the equation of the right bisector of BC
(ii) the equation of the right bisector of CA
(iii) the co-ordinates of the circumcentre of ΔABC
Related Questions
Find the equation of the perpendicular drawn from the point P(2, 3) on the line y = 3x + 4. Find the co-ordinates of the foot of the perpendicular.
A(1, 2), B(2, 3) and C(4, 3) are the vertices of a ΔABC. Find :
(i) the equation of altitude through B
(ii) the equation of altitude through C
(iii) the co-ordinates of the orthocentre of ΔABC
(i) Is the line passing through the points A(–2, 3) and B(4, 1) perpendicular to the line 3x – y = 1?
(ii) Does the line 3x – y = 1 bisect the join of A(–2, 3) and B(4, 1)?
A line segment AB meets x-axis at A and y-axis at B. P(4, –1) divides AB in the ratio 1 : 2.
(i) Find the co-ordinates of A and B.
(ii) Find the equation of the line through P and perpendicular to AB.