Cheenta Blog Since 2010

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: Side Length of Rectangle from AMC-10, 2009. You may use sequential hints to solve the problem

Try this beautiful problem from the Pre-RMO, 2017 based on Roots and coefficients of equations. You may use sequential hints to solve the problem.

Try this beautiful problem from the Pre-RMO, 2017 based on Number of ways. You may use sequential hints to solve the problem.

Try this beautiful problem from the Pre-RMO, 2017 based on Number of ways of arrangement. You may use sequential hints to solve the problem.

Try this beautiful problem from the Pre-RMO, 2017 based on Real Numbers and Integers. You may use sequential hints to solve the problem.

Try this beautiful problem from the Pre-RMO, 2017 based on Roots of Equation. You may use sequential hints to solve the problem.

Try this beautiful problem from Geometry: Circle from AMC-10A (2006) You may use sequential hints to solve the problem.

Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.

Try this beautiful problem from Geometry:Squarefrom AMC-10A (2008) You may use sequential hints to solve the problem.

Try this beautiful problem from Geometry based on Centroid. You may use sequential hints to solve the problem