# SECTION FORMULA WORKSHEET WITH ANSWERS

Section Formula Worksheet with Answers :

Practice questions given in this section will be much useful for the students who would like to practice the concept section formula.

## Section Formula Worksheet - Practice questions

(1) Find the coordinates of the point which divides the join of (-1,7) and (4,-3) in the ratio 2 : 3.     Solution

(2) Find the coordinates of the points of trisection of the line segment joining (4,-1) and (-2,-3).

(3) To conduct sports day activity, in your rectangular shaped school ground ABCD, lines have been drawn which chalk powder at a distance of 1 m each 100 flower pots have been placed at a distance of 1 m from each other along AD,as shown in figure.

Niharika runs ¼ th the distance AD on the second line and posts a green flag. Preet runs 1/5th the distance AD on the eight line and posts a red flag. What  is between both the flags?

If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags,where should she post her flag?

(4) Find the ratio in which the line segment joining the points (-3, 10) and (6, -8) is divided by (-1, 6).

(5) Find the ratio in which the line segment joining A (1,-5) and B(-4,5) is divided by the x axis.Also find the coordinates of the point of division.

(6) If (1,2),(4,y) (x,6) and (3,5) are the vertices of a parallelogram taken in order, find x and y

(7) Find the coordinates of a point A, where AB is the diameter of a circle whose center is (2, -3) and B(1, 4)

Solution

(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 line segment AB.

(9) Find the coordinates of the points which divide the line segment joining A (-2, 2) and B(2, 8) into four equal parts.

(10) Find the area of a rhombus if its vertices are (3, 0) (4, 5) (-1, 4) and (-2, -1) taken in order.

[Hint:Area of rhombus  =  (1/2) product of its diagonals]

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