Sum Of 1’S C.M.I UG-2019 Entrance

Understand the problem Find the sum 1+111+11111+1111111+…..1….111(2k+1) ones   Source of the problem C.M.I UG-2019 entrance exam Topic Algebra Difficulty Level 3.5 out of 10 Suggested Book challenges and trills of pre college mathematics  ...

C.M.I-2019 Geometry problem

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) Source of the problem C.M.I (Chennai mathematical institute UG-2019 entrance Topic Geometry Difficulty Level 5 out of 10...
Triangle in complex plane – ISI 2019 Obj P8

Triangle in complex plane – ISI 2019 Obj P8

Understand the problem For each natural number k, choose a complex number (z_k) , with( | z_k | = 1 ), and denote ( a_k ) by the area of the triangle formed by (z_k , i cdot z_k , z_k + i cdot z_k ) . Then which of the following is true for the series below: $$...