COORDINATE GEOMETRY - PRACTICE TEST PAPER

COORDINATE GEOMETRY – SLIP TEST If the points A (0,-1), B (6, 7), C (-2, 3) and D (8, 3) are the vertices of a rectangle, then find the area of this rectangle.  Find the values of x and y if the distances of the point (x, y) from (-3, 0) as well as from (3, 0) are 4. The three vertices of a parallelogram are (3, 4), (3, 8) and (9, 8). Find the fourth vertex. Two vertices of a triangle are (3, -5) and (-7, 4). If its centroid is (2, -1), find the third vertex. Find the circumcentre of the triangle whose vertices are (-2, -3), (-1, 0) and (7, -6) If two opposite vertices of a square are (1, 5) and (4, 2), find the coordinates of its remaining two vertices. In what ratio does the point (-3, 7) divide the join of A (-5, 11) and B (4, -7)?