Mathematics
The vertices of a ΔABC are A(3, 8), B(–1, 2) and C(6, –6). Find :
(i) Slope of BC.
(ii) Equation of a line perpendicular to BC and passing through A.
Related Questions
(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.
Line AB is perpendicular to CD. Coordinates of B, C and D are respectively (4, 0), (0, –1) and (4, 3). Find :
(i) Slope of CD.
(ii) Equation of AB.
A and B are two points on the x-axis and y-axis respectively.
(i) Write down the coordinates of A and B.
(ii) P is a point on AB such that AP : PB = 3 : 1. Using section formula, find the coordinates of point P.
(iii) Find the equation of a line passing through P and perpendicular to AB.