© 2009 -2011 tutorco.com 1 Q1. Check whether the points (-2, -1), (1, 0), (4, 3) and (1, 2) are the vertices of parallelogram. Q2. The three vertices of parallelogram taken in order are (-1, 0), (3, 1) and (2, 2) respectively. Find the fourth vertex. Geo_6_5_S GEOMETRY COORDINATE GEOMETRY © 2009 -2011 tutorco.com 2 Q3. If A (5, -1), B (-3, -2) and C (-1, 8) are the vertices of triangle ABC. Find the coordinates of centroid. Q4. Find the coordinates of centroid of triangle whose vertices are (0, 6), (8, 12) and (8, 10). Q5. Find the area of triangle whose vertices are (3, 2), (11, 8), (8, 12). © 2009 -2011 tutorco.com 3 Q6. Find the area of quadrilateral ABCD whose vertices are A (1, 1), B (7, -3), C (12, 2) and D (7, 21). Q7. Check whether the points (2, -2), (-3, 8) and (-1. 4) are collinear. Q8. For what value of x will the points (x, -1), (2,1) and (4, 5) lie on a line. © 2009 -2011 tutorco.com 4 Q9. Given points: (-9, 0), (-3, -4), (-13, -6), and (-7, -10). Is this quadrilateral a square? Q10. Given points: (-2, -12), (6, 0), and (4, -16). Is this a right triangle? © 2009 -2011 tutorco.com 5 Q11. Do the points A (3, 2), B (-2, -3) and C (2, 3) from a triangle? If so name the type of triangle formed. Q12. Check whether the points (-3, 0), (1, -3) and (4, 1) are the vertices of isosceles right angles triangle. Find the area of this triangle. Q13. The coordinates of one end of diameter of circle are (4, -1) and the coordinates of centre of circle are (1, -3). Find the coordinates of other end of the circle. © 2009 -2011 tutorco.com 6 Q14. Find the length of median through A of triangle ABC whose vertices are A (7, -3), B (5, 3) and C (3, -1). Q15. If (x, 2), (-3, -4) and (7, -5) are collinear, then what is the value of x. Q16. If coordinates of centroid of triangle formed by (7, x), (y, -6) and (9, 10) is (6, 3). What is the value of x and y. © 2009 -2011 tutorco.com 7 Q17. Find the area of triangle whose vertices are (6, 3), (-3, 5) and (4, -2). Q18. Find the area of quadrilateral whose vertices are (-3, 2), (5, 4),(7, -6) and (-5, -4). © 2009 -2011 tutorco.com 8 Q19. If the points (-11, 7), (-16, -9), and (?, -57)are collinear find the missing value. Q20 .Given points: (-12, 0), (-2, -7), (-8, 5), and (2, -3). Is this quadrilateral, a rectangle? © 2009 -2011 tutorco.com 9 Q21. Given points: (11, 1), (-1, -3), (19, 4), and (7, 0). Is this quadrilateral, a parallelogram? Q22. Check whether given coordinates are (2,-2), (-8,4) and (5,3) form right angled triangle. © 2009 -2011 tutorco.com 10 Q23. Find the area of triangle formed by joining the mid points of triangle whose vertices are (0, -1), (2, 1) and (0, 3).Find the ratio of area of triangle formed to the area of given triangle. Q24. If A (4, -6), B (3, -2) and C (5, 2) are the vertices of triangle ABC, then check whether a median of triangle ABC divides it into two triangles of equal area. © 2009 -2011 tutorco.com 11 Q25. For what value of k are the points (k, 2 – 2k), (-k + 1, 2k) and (-4 –k, 6-2k) are collinear. Q26. Find the condition such that point P(x, y) lie on line joining (3, 4) and (-5, -6) . Q27. If coordinates of two points A and B are (3, 4) and (5, -2) respectively. Find coordinates of P if PA = PB and Area of triangle PAB = 10 sq units. © 2009 -2011 tutorco.com 12 Q28. Find lengths of medians of triangle ABC if vertices are A (0, -1), (2, 1) and (0, 3). Q29. Find the coordinates of points which divide the line segment joining points (-4, 0) and (0, 6) in four equal parts. Q30. The line segment joining (3, -2) and (1, 2) is trisected at points P and Q. If coordinates of P and Q are (p, -2) and (5/3, q) respectively. Find the values of p and q.