Find the coordinates of the points which divide the line segment joining the points (-4, 0) and (0, 6) in four equal parts.
Find the ratio in which the point P (-1, y) lying on the line segment joining A (-3, 10) and B (6,-8) divides it. Also , find the value of y.
The points A (2, 0), B (9, 1), C (11, 6) and D (4, 4) are the vertices of a quadrilateral ABCD. Determine whether ABCD is a rhombus or not.
Three consecutive vertices of a parallelogram are (-2, -1), (1, 0) and (4, 3). Find the fourth vertex.
(i) In what ratio is the line segment joining the points (-2, -3) and (3, 7) divided by the y-axis ? Also, find the coordinates of the point of division.
(ii) In what ratio is the line segment joining (-3, -1) and (-8, -9) divided at the point (−5,−215)?
Find the ratio in which the line segment joining the points A (3, -3) and B (-2, 7) is divided by x-axis. Also, find the coordinates of the point of division.
Find the coordinates of a point A , where AB is a diameter of the circle whose centre is (2, -3) and B is (1, 4).