GeoGebra Assignments | April 2025 Course

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Make the given projects on GeoGebra and paste the link in 'short answer' space.

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Q1.Make a sliding ladder following the instruction given below in the picture. (Copy link of your GeoGebra project)

Q2. Extending the sliding ladder simulation to 4 quadrants - Trammel of Archimedes. (Copy link of your GeoGebra project)

https://en.wikipedia.org/wiki/Ellipsograph

Q3. Simulate a Clock with Square Dial.

i) Find the positions of clock marks on dial.

ii) Sequence command to generate all 12 marks.

Q4. Modular Arithmetic in a circle with 12 points.

Mark equidistant 12 points on a circle, label points from 1 to 12.
Connect all the points which are multiple of 2 i.e. 2, 4, 6… If the point if greater than 12, divide it with 12 and the reminder is your number.
Similarly connect all the points which are multiples of following numbers:
M = 3; M = 4; M = 5; M = 6
Take N and M as a slider, where N denotes number of points in a circle and M as a multiplication factor (connect points which are multiple of M)

Q5. Modular Arithmetic in a circle with 100 points.

Define 100 points in a circle. Label them from 0 to 99.
Connect ith point with 30 distinct point using Segment.
Connect every ith point with d (slider) distinct point.
Connect every ith point with double of its number point using Segment.
Connect every ith point with multiplication factor m (slider).

Q6. Rotate unit circle on a x-Axis. Trace a point on a rotating circle.

Change the position of a tracing point from perimeter to inside the circle.

Q7. Rotate unit circle around another circle with same radius. Trace a point on a rotating circle.

Change the radius of a circle with r variable and now simulate.

Rotate unit circle inside a circle with double of its diameter. Trace a point on a rotating circle.

Change the radius of a circle with r variable and now simulate.

Q8. Consider two points A & B, we want to find the fastest path between these two. The point A lies in a region where the speed is 2 units and the point B is in a region with speed 1 unit.

Plot the graph of time taken to travel from point A to B vs position of intermediate point at the interface.

Q9. Consider two points A & B, we want to go from point A to B via touching any point in the blue region.

Plot the graph of distance taken to travel from point A to B vs position of touching point in the blue region.

Q10. Consider two points A & B, we want to find the fastest path between these two and they both lay in the same region.

When both points are in the same region, it seems like straight line must be the fastest. But you have another option of going to faster region and come back (Path 3).

i) Fix the position of point A and keep point B moving. Make the straight path between these two and calculate time taken.

ii) Make another path of going to medium 2 (faster region) and come back. Calculate the time taken.

Q11. Consider 𝞱 as a slider variable to choose the position of next point in a spiral.

Take 𝞱 as rational number i.e. ⅔; ⅕; 17/5;
Take 𝞱 as irrational number i.e. √2, √5, √13 ..

Q12. Take an A4 size paper, draw horizontal line at any height and mark point P anywhere on sheet. Take any point from the bottom side and put it over the point P. The envelope of creased lines will show a smooth curve.

Simulate it on GeoGebra & prove that the curve is a parabola.
Take a circle, mark a point P inside the circle at any place. Take any point from the perimeter of the circle and put it over the point P. The envelope of creased lines will show a smooth curve.
Simulate it on GeoGebra & prove that the curve is an ellipse.

Q13. Using GeoGebra try to simulate the rate of change of radius with respect to height in sphere, cylinder and cone.

Q14. Take a A4 sheet paper make a different cuboid out of it. Try to find out at which height it has its maximum volume using geogebra simulation.

Q15. Make an animation of roation of earth around the sun and moon's rotation around earth using geogebra.

Q16. Make a simulation of Buffon's needle experiment .

Q17. Take a cylinder and make slant cut such that the ellipse formed touches the top and bottom circle of cylinder. When you peel out off the skin of cylinder it formes a sinosudal wave. Simulate using Geogebra.

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