7. COORDINATE GEOMETRY

MAX MARKS: – 16

TIME- 45 MIN.        

  1. Do the points (3, 2), (–2, –3) and (2, 3) form a triangle? If so, name the type of triangle formed.
  2. Show that the points (1, 7), (4, 2), (–1, –1) and (– 4, 4) are the vertices of a square.
  3. Find a relation between x and y such that the point (x , y) is equidistant from the points (7, 1) and (3, 5).
  4. Find a point on the y-axis which is equidistant from the points A(6, 5) and B(– 4, 3).
  5. Find the coordinates of the point which divides the line segment joining the points (4, – 3) and (8, 5) in the ratio 3 : 1 internally.
  6. In what ratio does the point (– 4, 6) divide the line segment joining the points A (– 6, 10) and B (3, – 8)?
  7. Find the coordinates of the points of trisection (i.e., points dividing in three equal parts) of the line segment joining the points A (2, – 2) and B (– 7, 4).
  8. If A and B are (-2, -2) and (2, -4) respectively , find the coordinates of P such that AP=3/7 AB and P lies on the segment AB.