Subscribe to our YouTube channel for the latest videos, updates, and tips.


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. Terms Related to Simple Interest | Simple Interest Formula | Principal

    Jun 18, 25 02:57 PM

    In terms related to simple interest we will learn all the terms related to simple interest. The terms related to simple interest are Interest, Principal, Amount, Simple Interest, Time or period of tim…

    Read More

  2. Introduction to Simple Interest | Definition | Formula | Examples

    Jun 18, 25 01:50 AM

    Simple Interest
    In simple interest we will learn and identify about the terms like Principal, Time, Rate, Amount, etc. PRINCIPAL (P): The money you deposit or put in the bank is called the PRINCIPAL.

    Read More

  3. 5th Grade Profit and Loss Percentage Worksheet | Profit and Loss | Ans

    Jun 18, 25 01:33 AM

    5th Grade Profit and Loss Percentage Worksheet
    In 5th grade profit and loss percentage worksheet you will get different types of problems on finding the profit or loss percentage when cost price and selling price are given, finding the selling pri…

    Read More

  4. Worksheet on Profit and Loss | Word Problem on Profit and Loss | Math

    Jun 18, 25 01:29 AM

    Worksheet on Profit and Loss
    In worksheet on profit and loss, we can see below there are some different types of questions which we can practice in our homework.

    Read More

  5. Calculating Profit Percent and Loss Percent | Profit and Loss Formulas

    Jun 15, 25 04:06 PM

    In calculating profit percent and loss percent we will learn about the basic concepts of profit and loss. We will recall facts and formula while calculating profit percent and loss percent. Now we wil

    Read More