**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.

(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). Solution

(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? Solution

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

(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. Solution

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

(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)

(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. Solution

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

(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] Solution

After having gone through the stuff given above, we hope that the students would have understood, section formula worksheet with answers.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here

Widget is loading comments...

You can also visit our following web pages on different stuff in math.

**WORD PROBLEMS**

**Word problems on simple equations **

**Word problems on linear equations **

**Word problems on quadratic equations**

**Area and perimeter word problems**

**Word problems on direct variation and inverse variation **

**Word problems on comparing rates**

**Converting customary units word problems **

**Converting metric units word problems**

**Word problems on simple interest**

**Word problems on compound interest**

**Word problems on types of angles **

**Complementary and supplementary angles word problems**

**Trigonometry word problems**

**Markup and markdown word problems **

**Word problems on mixed fractrions**

**One step equation word problems**

**Linear inequalities word problems**

**Ratio and proportion word problems**

**Word problems on sets and venn diagrams**

**Pythagorean theorem word problems**

**Percent of a number word problems**

**Word problems on constant speed**

**Word problems on average speed **

**Word problems on sum of the angles of a triangle is 180 degree**

**OTHER TOPICS **

**Time, speed and distance shortcuts**

**Ratio and proportion shortcuts**

**Domain and range of rational functions**

**Domain and range of rational functions with holes**

**Graphing rational functions with holes**

**Converting repeating decimals in to fractions**

**Decimal representation of rational numbers**

**Finding square root using long division**

**L.C.M method to solve time and work problems**

**Translating the word problems in to algebraic expressions**

**Remainder when 2 power 256 is divided by 17**

**Remainder when 17 power 23 is divided by 16**

**Sum of all three digit numbers divisible by 6**

**Sum of all three digit numbers divisible by 7**

**Sum of all three digit numbers divisible by 8**

**Sum of all three digit numbers formed using 1, 3, 4**

**Sum of all three four digit numbers formed with non zero digits**