Sum of 1's: Algebra Problem Find the sum: 1+111+11111+1111111+…..1….111(2k+1) ones Useful points: Try with Hints ... Other Useful Links GCD and Bezout Theorem Gauss Trick of Algebra Related Program Subscribe to Cheenta at YouTube
Understand the problem Let O be a point inside a parallelogram ABCD such that \(\angle AOB+\angle COD =180\) prove that \(\angle OBC =\angle ODC\) Useful Points Suggested book Challenges and Thrills in Pre-College Mathematics Try with Hints... Other Useful Links GCD and Bezout Theorem Gauss Trick of Algebra Related Program Subscribe to Cheenta at YouTube
This problem from ISI Entrance 2019 is an interesting application of complex numbers in geometry. Try your hands on this!
Try this beautiful problem from Geometry:Area of Octagon.AMC-10A, 2005. You may use sequential hints to solve the problem
Try this beautiful problem from Algebra based on AP GP from AMC-10A, 2004. You may use sequential hints to solve the problem.
Try this beautiful problem from AMC 10A, 2003 based on Probability in Divisibility. You may use sequential hints to solve the problem.
Try this beautiful problem from Geometry based on lengths of the rectangle from AMC-10A, 2009. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on Fibonacci sequence.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988 based on function. You may use sequential hints.
Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.
Try this beautiful problem from the Pre-RMO, 2017, Question 23, based on Solving Equation. You may use sequential hints to solve the problem.
Try this beautiful problem from the American Invitational Mathematics Examination I, AIME I, 1988, Question 14, based on Reflection.
Try this beautiful Number Theory problem from PRMO, 2019, problem-18, based on Ordered Pairs. You may use sequential hints to solve the problem.