Sample Paper – 2010 Class – X Subject - Mathematics Show that the points A (2, -2), B (14, 10), C (11, 13) and D (-1, 1) are the vertices of a rectangle. Determine the ratio in which the points (6, a) divides the join of A (-3, -1) and B (-8, 9). Also find the value of “a”. Find the point on the x-axis which is equidistant from the points (-2, 5) and (2, -3).find the coordinates of a point which divides internally the line segment joining the points (-3,-4) and (-8, 7) in the ratio of 7:5. Find the value of k for which the points (2, 5), (k, 11/2) and (4, 6) are collinear. Find the lengths of the median of the triangle whose vertices are (1,-1), (0, 4) and (-5,3) . Find the co-ordinates of the points of trisection of the line segment joining the points (3, -3) and (6, 9). The center of a circle of radius 13 units is the point (3, 6). P (7, 9) is a point inside the circle. APB is a chord of the circle such that AP = PB. Calculate the length of AB. The co-ordinates of the mid-point of th...