Mathematics
Show that the points P(a, b + c), Q(b, c + a) and R(c, a + b) are collinear.
Related Questions
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.
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.