Ellipses with Center (0,0)
Read this topicExplanations 1
- There are two kinds of ellipses with center (0, 0). They are the horizontal kind and the vertical kind. Every ellipse has a major axis and a minor axis. They are like the dimens…
By Vivian Loh, Po-Shen Loh, Catherine Yeo, Alex Federspiel
Problems 2
- Let NNN be the number of ordered pairs of integers (x,y)(x, y)(x,y) such that 4x2+9y2≤1000000000.4x^2 + 9y^2 \le 1000000000.4x2+9y2≤1000000000. Let aaa be the first digit of NNN…
- Let EEE be an ellipse with center (0,0)(0, 0)(0,0), and let p=(x,y)p = (x, y)p=(x,y) be a point on EEE. For which point qqq is ∣p∣≤∣q∣|p| \le |q|∣p∣≤∣q∣ always true? (Note: In t…