From 282c7a483988f8c74b1b001c2fac2599651955d7 Mon Sep 17 00:00:00 2001 From: Ashutosh-iitrpr <141392925+Ashutosh-iitrpr@users.noreply.github.com> Date: Mon, 20 May 2024 22:27:29 +0530 Subject: [PATCH] Update Oceanverse.md --- Oceanverse.md | 19 ++++++++++++++++++- 1 file changed, 18 insertions(+), 1 deletion(-) diff --git a/Oceanverse.md b/Oceanverse.md index 3c6484c..0a2781d 100644 --- a/Oceanverse.md +++ b/Oceanverse.md @@ -8,10 +8,27 @@ permalink: /oceanverse/ * TOC {:toc} **Strictly use Geogebra to solve all the questions** + + [Edit this page](https://github.com/sudarshansudarshan/aicamp/edit/main/Oceanverse.md) +# Module 0 +1.Plot the points (2,3) and (6,9) and find the distance between them without using the formula for distance. +2.Plot two vectors u=⟨3,−2⟩ and v=⟨−1,5⟩. +3.Find the angle between them. +4.Construct a perpendicular bisector of a given segment whose end points are (0,6) and (6,0). +5.Plot line y=3x. +6.Graph the equation y=2x+3 over the interval [−5,5] and find the points where the graph intersects the x-axis and y-axis. +7.Explore the behavior of the quadratic function f(x)=x ^2−4x+3. Determine its vertex, axis of symmetry, and roots. +8.Find the angle between the lines with equations y=2x+3 and y=−3x+2. +9.Determine the angle of depression from the top of a building to a point on the ground 50 meters away from the base of the building, given that the height of the building is 30 meters. +10.Construct a right triangle with legs of lengths 3 units and 4 units. Find the length of the hypotenuse. +11.find the centriod of the above triangle. +12.Enter a set of parametric equations, such as x(t)=cos(t) and y(t)=sin(t) to plot a circle. +13.create two planes: Plane 1: 2x−3y+z=6 Plane 2: x+4y−2z=8. Plot the two planes in a 3D coordinate system. +14.Determine the angle between the two planes.Are the planes intersecting? is there any unique point in common? what do you infer from this? # Module A ___ -[Edit this page](https://github.com/sudarshansudarshan/aicamp/edit/main/Oceanverse.md) + 1.Ram and Lakshman were two brothers, Ram's pocket money was twice as much as Lakshman. The good boy that Ram and Lakshman were, they did not spend their pocket money on anything. They instead saved the same in their piggy bank. Every week, they would check their savings so far. Assume the first week's savings was $$(R_1,L_1)$$ and second week's $$(R_2,L_2)$$ and so on. They try plotting their weekly savings on a graph sheet. How will the points look like?