Mathematics
Three vertices of a parallelogram ABCD taken in order are A(3, 6), B(5, 10) and C(3, 2). Find :
(i) the co-ordinates of the fourth vertex D
(ii) length of diagonal BD
(iii) equation of side AB of the parallelogram ABCD
Related Questions
In what ratio does the line x – 5y + 15 = 0 divide the join of A(2, 1) and B(–3, 6)? Also, find the co-ordinates of their point of intersection.
Find the equations of the medians of ΔABC whose vertices are A(–1, 2), B(2, 1) and C(0, 4). Hence, find the co-ordinates of the centroid of ΔABC.
In the given figure, ABC is a triangle and BC is parallel to the y-axis. AB and AC intersect the y-axis at P and Q respectively. Find :
(i) the co-ordinates of A
(ii) the length of AB and AC
(iii) the ratio in which Q divides AC
(iv) the equation of the line AC

If A(2, –3), B(–5, 1), C(7, –1) and D(0, k) be four points such that AB is parallel to CD, find the value of k.