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• Ellipse
  ...ts are perpendicular. Drawing all four semi-axes divides the ellipse into 4 [[congruent (geometry)|congruent]] quarters. size(200);
  5 KB (892 words) - 21:52, 1 May 2021
• Diophantine equation
  An equation of form <math>x^4+y^4=z^2</math> has no [[integer]] solutions, as follows: If <math>\gcd(x_0,y_0)=1</math>, we then proceed with casework, in <math>\mod 4</math>.
  9 KB (1,434 words) - 01:15, 4 July 2024
• 2005 AIME II Problems/Problem 8
  == Problem == ...> C_3. </math> The radii of <math> C_1 </math> and <math> C_2 </math> are 4 and 10, respectively, and the [[center]]s of the three circles are all [[co
  4 KB (693 words) - 13:03, 28 December 2021
• 2005 AIME II Problems/Problem 12
  == Problem == size(200);
  13 KB (2,080 words) - 13:14, 23 July 2024
• 2004 AIME I Problems
  {{AIME Problems|year=2004|n=I}} == Problem 1 ==
  9 KB (1,434 words) - 13:34, 29 December 2021
• 2004 AIME II Problems/Problem 11
  == Problem == ...ne]] has a [[base]] with [[radius]] <math>600</math> and [[height]] <math> 200\sqrt{7}. </math> A fly starts at a point on the surface of the cone whose d
  2 KB (268 words) - 22:20, 23 March 2023
• 2004 AIME II Problems/Problem 7
  == Problem == size(200);
  9 KB (1,500 words) - 20:06, 8 October 2024
• 2004 AIME II Problems
  {{AIME Problems|year=2004|n=II}} == Problem 1 ==
  9 KB (1,410 words) - 05:05, 20 February 2019
• 2002 AIME II Problems
  {{AIME Problems|year=2002|n=II}} == Problem 1 ==
  7 KB (1,177 words) - 15:42, 11 August 2023
• 2003 AIME II Problems/Problem 14
  == Problem == ...y-coordinates of its vertices are distinct elements of the set <math>\{0,2,4,6,8,10\}.</math> The area of the hexagon can be written in the form <math>m
  9 KB (1,472 words) - 15:24, 29 December 2024
• 2003 AIME II Problems/Problem 12
  == Problem == ...f votes they received is <math>\frac{100v_i}s</math>. The condition in the problem statement says that <math>\forall i: \frac{100v_i}s + 1 \leq v_i</math>. (
  4 KB (759 words) - 13:00, 11 December 2022
• 2002 AIME II Problems/Problem 7
  == Problem == ...math> such that <math>1^2+2^2+3^2+\ldots+k^2</math> is a multiple of <math>200</math>.
  3 KB (403 words) - 12:10, 9 September 2023
• 2000 AIME II Problems/Problem 13
  == Problem == 2(1000x^6-1) + x(100x^4+10x^2+1)&=0\
  7 KB (1,098 words) - 00:33, 21 January 2025
• 2000 AIME II Problems/Problem 8
  == Problem == <cmath>x^2 + \left(y-\sqrt{11}\right)^2 = 1001 \Longrightarrow x^4 - 11x^2 - 11^2 \cdot 9 \cdot 10 = 0</cmath>
  4 KB (589 words) - 15:33, 20 January 2025
• 2007 AIME II Problems/Problem 2
  == Problem == ...ath>. Thus, there are <math>0 + 0 + 2 + 3 + 8 + 18 + 23 + 48 + 98 = \boxed{200}</math> solutions of <math>(a,b,c)</math>.
  1 KB (228 words) - 08:41, 4 November 2022
• 2007 AIME II Problems
  {{AIME Problems|year=2007|n=II}} == Problem 1 ==
  9 KB (1,435 words) - 01:45, 6 December 2021
• 2006 AIME II Problems/Problem 3
  == Problem == ...s 195\cdot 197\cdot 199=\frac{1\cdot 2\cdots200}{2\cdot4\cdots200} = \frac{200!}{2^{100}\cdot 100!}</math>
  4 KB (562 words) - 18:37, 30 October 2020
• 2008 AIME I Problems
  {{AIME Problems|year=2008|n=I}} == Problem 1 ==
  9 KB (1,536 words) - 00:46, 26 August 2023
• 2008 AIME II Problems/Problem 11
  == Problem == size(200);
  6 KB (1,092 words) - 22:22, 18 August 2024
• 2011 AIME II Problems/Problem 5
  ==Problem== ...of the first <math>2011</math> terms of a [[geometric sequence]] is <math>200</math>. The sum of the first <math>4022</math> terms is <math>380</math>. F
  3 KB (441 words) - 21:32, 20 January 2024

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