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)

Solution

(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.

Solution

(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.

Solution

(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