## Section Formula Worksheet

In this page section formula worksheet we are going to see some practice questions. For each question you can find solution with detailed solution.

 Questions Solution (1) Find the midpoint of the line segment  (i)  (1 ,-1) and (-5 , 3) (ii)  (0 , 0) and (0 , 4) Solution (2) Find the centroid of the triangle whose vertices are (i) (1 , 3) (2 , 7) and (12 , -16)   (ii) (3 , 5) (-7 , 4) and (10 , -2) (3) The centre of the circle is at (-6 , 4). If one end of the diameter of the circle is at origin, then find the other end. (4) If the centroid of the triangle is at (1 , 3) and two of its vertices are (-7,6) and (8,5) then find the third vertex of the triangle. (5) Using the section formula, show that the points A (1 , 0), B (5 , 3) , C (2 , 7) and D(-2 , 4) are vertices of a parallelogram taken in order. Solution (6) Find the coordinates of the point which divides the line segment joining (3, 4) and (-6 , 2) in the ratio 3:2 externally. Solution (7) Find the coordinates of the point which divides the line segment joining (-3 ,5) and (4 , -9) in the ratio 1:6 internally. Solution (8) Let A (-6 , -5)and B(-6 , 4) be the two points such that a point  P on the line AB satisfies AP = (2/9) AB. Find the point P. Solution (9) Find the points of trisection of the line segment joining the points A (2 , -2) and B (-7 , 4). Solution (10) Find the points which divide the line segment joining A (-4 , 0) and B (0 ,6) into four   equal parts Solution (11) Find the ratio in which x axis divides the line segment joining the points (6 , 4) and (1 ,- 7). Solution (12) In what ratio is the line joining the points (-5,1) and (2 ,3) divided by y-axis? Also, find the point of intersection. Solution (13) Find the length of the medians of the triangle whose vertices are (1 , -1) (0 ,4) and (-5 ,3) Solution

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