Mathematics
Show that the points P(a, b + c), Q(b, c + a) and R(c, a + b) are collinear.
Related Questions
A(5, 4), B(-3, -2) and C(1, -8) are the vertices of a triangle ABC. Find :
(i) the slope of the altitude of AB,
(ii) the slope of the median AD and
(iii) the slope of the line parallel to AC.
Without using the distance formula, show that the points A(4, 5), B(1, 2), C(4, 3) and D(7, 6) are the vertices of a parallelogram.
(-2, 4), (4, 8), (10, 7) and (11, -5) are the vertices of a quadrilateral. Show that the quadrilateral, obtained on joining the mid-points of its sides, is a parallelogram.