Recently, French mathematician Cedric Villani’s team came up with ’21 measures for the teaching of Mathematics’. I read through the report, with great curiosity and happily noted that Cheenta’s Thousand Flowers program has already implemented...

The Problem Find the number of integer-sided isosceles obtuse-angled triangles with perimeter 2008. Video LectureKey ideas Cosine Rule: If ABC is any triangle, \( \angle BAC = \theta \) then \( AB^2 + AC^2 – 2\times AB \times AC \times \cos \theta = BC^2 \) ....

Nehru writes, ‘very little original work on mathematics was done in India after the twelfth century till we reach the modern age. ‘Discovery of India’ was written over five months when Nehru was imprisoned in the Ahmednagar Fort. It was first...

Problem Let ABC be an acute-angled triangle, let D, F be the mid-points of BC, AB respectively. Let the perpendicular from F to AC and the perpendicular at B to BC meet in N. Prove that ND is equal to circum-radius of ABC. VIdeo DiscussionTheorems and tools The...

State True or False: The set of nilpotent matrices of \( M_3 (\mathbb{R} ) \) spans \( M_3 (\mathbb{R} ) \) considered as an \( \mathbb {R} \) – vector space ( a matrix A is said to be nilpotent if there exists \( n \in \mathbb{N} \) such that \( A^n = 0 \) )....