INTRODUCING 5 - days-a-week problem solving session for Math Olympiad and ISI Entrance. Learn More 

May 8, 2011

RMO 1992, question no. 4

ABCD is a quadrilateral and P , Q are mid-points of CD, AB respectively. Let AP , DQ meet
at X, and BP , CQ meet at Y . Prove that
area of ADX + area of BCY = area of quadrilateral PXQY 

  1. The number of ways in which three non-negative integers \( n_1, n_2, n_3 \) can be chosen such that \( n_1+n_2+n_3 = 10 \) is
    (A) 66 (B) 55 (C) \( 10^3 \) (D) \( \dfrac {10!}{3!2!1!} \)

Leave a Reply

This site uses Akismet to reduce spam. Learn how your comment data is processed.

Cheenta. Passion for Mathematics

Advanced Mathematical Science. Taught by olympians, researchers and true masters of the subject.
JOIN TRIAL
support@cheenta.com
enter