PDF chapter test TRY NOW

Methodical recommendation:

Theory

Number Name Description
Number 1. Name Introduction to section formula Description Let us get introduced to section formula.
Number 2. Name Section formula using graphical representation Description Let us know how section formula is formed through graphical representation.
Number 3. Name Introduction to centroid Description Let us get introduced to centroid formula.

Textbook Questions

Number Name Type Difficulty Marks Description
Number 1. Name Multiple choice question I Type Other Difficulty easy Marks 2 m. Description Choose the correct answers using section formula.
Number 2. Name Multiple choice question II Type Other Difficulty easy Marks 2 m. Description Choose the correct answer using section formula.
Number 3. Name Multiple choice question III Type Other Difficulty easy Marks 1 m. Description Choose the correct answer using section formula.
Number 4. Name Two marks example problems I Type Other Difficulty medium Marks 2 m. Description Determine the coordinates of the point which divides the line segment.
Number 5. Name Two marks example problems II Type Other Difficulty medium Marks 2 m. Description Find the third vertex of the triangle using centroid formula.
Number 6. Name Two marks exercise problems I Type Other Difficulty medium Marks 4 m. Description Find the point which divides the line segment and the ratio of the divided point.
Number 7. Name Two marks exercise problems II Type Other Difficulty medium Marks 2 m. Description Determine the coordinates of the point P which divides the line segment.
Number 8. Name Two marks exercise problems III Type Other Difficulty medium Marks 4 m. Description Find the centroid of the triangle using centroid formula.
Number 9. Name Two marks exercise problems IV Type Other Difficulty medium Marks 2 m. Description Determine the centroid of the triangle using centroid formula.
Number 10. Name Two marks exercise problems V Type Other Difficulty medium Marks 4 m. Description Find the length of the median and the third vertex of the triangle using centroid formula.
Number 11. Name Two marks exercise problems VI Type Other Difficulty medium Marks 2 m. Description Find the value of the expression using centroid formula.
Number 12. Name Five marks example problems III Type Other Difficulty hard Marks 10 m. Description Determine the coordinates of the point which divides the line segment and the ratio of point of division.
Number 13. Name Five marks exercise problems VII Type Other Difficulty hard Marks 5 m. Description Obtain the coordinates of the new points which divides the line segment using section formula.
Number 14. Name Five marks exercise problems VIII Type Other Difficulty hard Marks 0 m. Description Show the given points are collinear using section formula.
Number 15. Name Five marks exercise problems IX Type Other Difficulty hard Marks 5 m. Description Find the missing coordinates of the point using section formula.
Number 16. Name Five marks exercise problems X Type Other Difficulty hard Marks 5 m. Description Find the radius of the circle using section formula.
Number 17. Name Five marks exercise porblems XI Type Other Difficulty hard Marks 5 m. Description Find the coordinates of the vertex of the parallelogram using centroid formula.
Number 18. Name Five marks exercise problems XII Type Other Difficulty hard Marks 5 m. Description Obtain the centroid of the triangle when mid-points are given.

Practice Questions

Number Name Type Difficulty Marks Description
Number 1. Name Find the coordinate 'P' Type Other Difficulty easy Marks 1 m. Description Use section formula to find the point that divides the line segment.
Number 2. Name Find the centroid Type Other Difficulty easy Marks 2 m. Description Find the centroid of the circle using the given vertices.
Number 3. Name Find the co-ordinates of 'B' Type Other Difficulty medium Marks 4 m. Description Use section formula to find the end point of the line segment.
Number 4. Name Find the point by its extension Type Other Difficulty medium Marks 5 m. Description Use section formula to find the extended end point of the line segment.
Number 5. Name Find the ratio Type Other Difficulty medium Marks 3 m. Description Find the ratio with which the line segment is internally divided.
Number 6. Name Calculate the value of 'P' Type Other Difficulty medium Marks 4 m. Description Find the end point of the line segment using the fraction given.
Number 7. Name Find the value of 'k' Type Other Difficulty medium Marks 3 m. Description Use centroid formula to find the unknown variable.
Number 8. Name Find the vertex of 'C' Type Other Difficulty medium Marks 4 m. Description Use centroid formula to find the unknown vertex.
Number 9. Name Evaluate the centroid of the triangle Type Other Difficulty hard Marks 6 m. Description Find the centroid of the triangle with the mid-point of the sides given.
Number 10. Name Find the number of pots made Type Other Difficulty hard Marks 6 m. Description Use section formula to find the number of pots made.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
Number 1. Name Determine the ratio of the divided point Type Other Difficulty hard Marks 5 m. Description Determine the coordinates of the point which divides the line segment and the ratio of point of division.
Number 2. Name Find the coordinates of the new end points Type Other Difficulty hard Marks 5 m. Description Obtain the coordinates of the new points which divides the line segment using section formula.
Number 3. Name Determine the radius of the circle Type Other Difficulty hard Marks 5 m. Description Find the radius of the circle using section formula.
Number 4. Name Find the coordinates of the point C Type Other Difficulty hard Marks 5 m. Description Find the missing coordinates of the point using section formula.

Questions for Teacher Use

Number Name Type Difficulty Marks Description
Number 1. Name Find the point of intersection of the medians Type Other Difficulty easy Marks 2 m. Description Find the point of intersection of the triange using the vertices given.
Number 2. Name Centroid formula derivation Type Other Difficulty medium Marks 4 m. Description Give the derivation of the centroid formula.
Number 3. Name Find the number of sculptures made Type Other Difficulty hard Marks 6 m. Description Using section formula, find the number of sculptures made.
Number 4. Name Answer the following Type Other Difficulty hard Marks 10 m. Description Using a triangle with the vertices of your choice, come up with the answers to the questions asked.
Number 5. Name Section formula Type Other Difficulty medium Marks 1 m. Description Determine the coordinates of the point which divides the line segment.
Number 6. Name Centroid of a triangle Type Other Difficulty medium Marks 1 m. Description Find the third vertex of the triangle using centroid formula.
Number 7. Name Line segment in the ratio Type Other Difficulty medium Marks 1 m. Description Find the point which divides the line segment and the ratio of the divided point.
Number 8. Name Vertices and centroid of a triangle Type Other Difficulty medium Marks 1 m. Description Find the centroid of the triangle using centroid formula.
Number 9. Name Divided point Type Other Difficulty medium Marks 1 m. Description Find the point which divides the line segment and the ratio of the divided point.
Number 10. Name Find the centroid Type Other Difficulty easy Marks 1 m. Description Find the centroid of the circle using the given vertices.
Number 11. Name Vertex of the triangle Type Other Difficulty medium Marks 1 m. Description Find the third vertex of the triangle using centroid formula.
Number 12. Name Find divided point Type Other Difficulty medium Marks 1 m. Description Determine the coordinates of the point which divides the line segment.
Number 13. Name Find the unknown value using centroid formula Type Other Difficulty medium Marks 1 m. Description Use centroid formula to find the unknown variable.
Number 14. Name Length of the median Type Other Difficulty medium Marks 1 m. Description Find the length of the median and the third vertex of the triangle using centroid formula.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
Number 1. Name Homework I Recomended time: 00:15:00 Difficulty medium Marks 9 m. Description
Number 2. Name Homework II Recomended time: 00:15:00 Difficulty medium Marks 8 m. Description
Number 3. Name Homework III Recomended time: 00:15:00 Difficulty medium Marks 11 m. Description
Number 4. Name Homework IV Recomended time: 00:20:00 Difficulty medium Marks 24 m. Description
Number 5. Name Homework V Recomended time: 00:15:00 Difficulty medium Marks 10 m. Description
Number 6. Name Homework VI Recomended time: 00:15:00 Difficulty medium Marks 11 m. Description
Number 7. Name Revision test I Recomended time: 00:15:00 Difficulty medium Marks 17 m. Description
Number 8. Name Revision test II Recomended time: 00:15:00 Difficulty medium Marks 13 m. Description
Number 9. Name Revision test III Recomended time: 00:15:00 Difficulty medium Marks 14 m. Description
Number 10. Name Revision test IV Recomended time: 00:15:00 Difficulty medium Marks 12 m. Description
Number 11. Name Revision test V Recomended time: 00:15:00 Difficulty medium Marks 14 m. Description
Number 12. Name Revision test VI Recomended time: 00:15:00 Difficulty medium Marks 12 m. Description
Number 13. Name Periodic Assessment -1 Recomended time: 00:10:00 Difficulty medium Marks 8 m. Description PA 1
Number 14. Name Periodic Assessment -2 Recomended time: 00:10:00 Difficulty medium Marks 6 m. Description PA 2
Number 15. Name Bridge Course Demo 2 Recomended time: 00:10:00 Difficulty medium Marks 2 m. Description
Number 16. Name Periodic Assessment - Extended version Recomended time: 00:10:00 Difficulty medium Marks 4 m. Description PA 2
Number 17. Name Periodic Assessment 2.0 Recomended time: 00:10:00 Difficulty medium Marks 10 m. Description PA 2