© 2009 -2011 tutorco.com 1 Q1) State the quadrant or axis on which (0, 10) lies in. Q2) State the quadrant for : a. (6, -5) b. (-4, -8) From Questions 3 & 4: Find the distance between the following points: Q3) (-5, 6), (8, -4) Q4) (-8, 10), (-6, 7) Q5) If the distance between the points (4, p) and (1, 0) is 5, then what’s the value of p? Geo_6_6_S GEOMETRY COORDINATE GEOMETRY © 2009 -2011 tutorco.com 2 Q6) Find the mid point of line joining the points A(-7, -7) and B(-7, -4) Q7) Find the mid point of the following line segment: Q8) The slope of line AB is 4 then what is the slope of line CD if CD is parallel to AB. Q9) The slope of line CD is 3 then what is the slope of line AB, if AB is perpendicular to CD. © 2009 -2011 tutorco.com 3 Q10) Find the value of x if the distance between the points (x, 2) and (3,4) be 8 units. For Questions 11 and 12: Determine if the given points are collinear: Q11) (8, 3), (2, 5), and (14, 1) Q12) (19, 9), (4, 10), and (19, 9) © 2009 -2011 tutorco.com 4 Q13) Check whether the following points (-3, 68), (-5, 64), (2, 75), and (0, 1) form a parallelogram? Q14) Determine whether line AB is Parallel, Perpendicular to line CD or neither. Line AB: (9, -7) and (16, 0) Line CD: (6, 7) and (8, 6) © 2009 -2011 tutorco.com 5 Q15) Given the following two end points for the line AB, find the distance between A and the midpoint. A(-7, -7) and B(-7, -4) Q16) Find the area of triangle whose vertices are (-2, 1), (5, 4) and (2, -3). Q17) Find the area of quadrilateral whose vertices are (1, 2), (6, 2), (5, 3) and (3, 4). © 2009 -2011 tutorco.com 6 Q18) If these points are collinear, find the missing value(-8, ?), (2, 10), and (32, 58). Q19) Find the coordinates of the points which divides the line segment joining (-1, 3) and (4, -7) in the ratio 3:4 internally and externally. Q20) In what ratio 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. © 2009 -2011 tutorco.com 7 Q21) If three consecutive vertices of parallelogram are (1, -2), (3, 6) and (5, 10), find the fourth vertex. Q22) Find the coordinate of the point where the diagonals of parallelogram formed by joining the points (-2, -1), (1, 0), (4, 3) and (1, 2) meet. © 2009 -2011 tutorco.com 8 Q23) Plot the point in Cartesian plane A (5, 0), B (0, -3), C(8, 5) , D(-2, -5), E (1, -6), F( -2, 4) Q24) If the centroid of triangle is (1, 4) and two of its vertices are (4, -3) and (-9, 7) then find the area of triangle. © 2009 -2011 tutorco.com 9 Q25) If the point P(x, y) is equidistant from the points A(5,1) and B(-1,5), prove that 3x=2y.