Worksheet on Section Formula

Practice the questions given in the worksheet on section formula.

To find the co-ordinates of a point which divides the line segment joining two given points in a given ratio.

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

2. Find the point of bisection of the line segment AB, where A (-6, 11) and B (10, -3)

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

4. Find the point of trisection of the line segment AB, where A (-6, 11) and B (10, -3).

5. Find the coordinates of points of trisection of the line segment joining the point (6, -9) and the origin.

6. If X, Y and Z divides the line segment PQ in four equal parts such that PX = XY = YZ = ZQ, and the coordinates of P and Q are (1, 6) and (3, -4) respectively then find the coordinates of X, Y and Z.

7. In what ratio is the line segment joining X (0, 3) and Y (4, -1) divided by the x-axis. Write the coordinates of the point where XY intersects the x-axis.

8. If the point (p, q) is the middle point of the line segment joining the points P (7, -4) and Q (-1, 2) then find p and q.

9. Let M (-3, 5) be the middle point of the line segment XY whose one end has the coordinates (0, 0). Find the coordinates of the other end.

10. In what ratio is the line segment joining X (2, -3) and Y (5, 6) divides by the x-axis? Also, find the coordinates of the point of division.

11. The coordinates of the midpoint of the line segment AB are (1, -2). The coordinate of A are (-3, 2). Find the coordinate of B.

12. Find the ratio in which the line segment PQ, where P (-5, 2) and Q (2, 3), is divided by the y-axis.

13. Find the ratio in which the point X (-6, h) divides the join of P (-4, 4) and Q (6, -1) and here hence find the value of h.

14. Find the ratio in which the line segment PQ, where P (4, -2) and Q (1, 3), is divided by the x-axis.


Answers for the worksheet on section formula are given below:


Answers:


1. (1, 3)

2. (2, 4)     

3. (2, -3)

4. (\(\frac{4}{3}\), -\(\frac{4}{3}\)), (\(\frac{8}{3}\), -\(\frac{8}{3}\))

5. (4, -6) and (2, -3)

6.  X (\(\frac{3}{2}\), \(\frac{7}{2}\)), Y (2, 1) and Z (\(\frac{5}{2}\), -\(\frac{3}{2}\))

7. 3 ; 1; (3, 0)

8. p = 3, q = -1

9. (-6, 10)

10. 1 : 2; (3, 0)

11. (5, -6)

12. 5 : 2

13. 3 : 2; h = 2

14. 2 : 3

 Distance and Section Formulae






10th Grade Math

From Worksheet on Section Formula to HOME




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.

Share this page: What’s this?

Recent Articles

  1. Comparison of Numbers | Compare Numbers Rules | Examples of Comparison

    May 18, 24 02:59 PM

    Rules for Comparison of Numbers
    Rule I: We know that a number with more digits is always greater than the number with less number of digits. Rule II: When the two numbers have the same number of digits, we start comparing the digits…

    Read More

  2. Numbers | Notation | Numeration | Numeral | Estimation | Examples

    May 12, 24 06:28 PM

    Numbers are used for calculating and counting. These counting numbers 1, 2, 3, 4, 5, .......... are called natural numbers. In order to describe the number of elements in a collection with no objects

    Read More

  3. Face Value and Place Value|Difference Between Place Value & Face Value

    May 12, 24 06:23 PM

    Face Value and Place Value
    What is the difference between face value and place value of digits? Before we proceed to face value and place value let us recall the expanded form of a number. The face value of a digit is the digit…

    Read More

  4. Patterns in Numbers | Patterns in Maths |Math Patterns|Series Patterns

    May 12, 24 06:09 PM

    Complete the Series Patterns
    We see so many patterns around us in our daily life. We know that a pattern is an arrangement of objects, colors, or numbers placed in a certain order. Some patterns neither grow nor reduce but only r…

    Read More

  5. Worksheet on Bar Graphs | Bar Graphs or Column Graphs | Graphing Bar

    May 12, 24 04:59 PM

    Bar Graph Worksheet
    In math worksheet on bar graphs students can practice the questions on how to make and read bar graphs or column graphs. Test your knowledge by practicing this graphing worksheet where we will

    Read More