July 25, 2020 M CUBE: Math-e-Matics by Maheshwari PRMO In a triangle, ABC, let H, I, and O are orthocentre, incentre, and circumcenter respectively. If the points B, H, I, C lie on the circle, what is the magnitude of angle BOC in degrees? https://youtu.be/v87nAAbd2nI
July 25, 2020 M CUBE: Math-e-Matics by Maheshwari PRMO Let S be a circle with centre be O. A chord AB, not the diameter, divides S into two regions R1 and R2 such that O belongs to R2. Let S1 be a circle with centre in R1, touching AB at X and S internally. Let S2 be a circle with centre in R2, touching AB at Y, the circle S internally, and passing through the centre of S. The point X lies on the diameter passing through the centre of S2 and angle YXO = 30 degrees. If the radius of S2 is 100 units, find the length of the radius of S1? https://youtu.be/jVoii6kfmSM
M CUBE: MatheMatics by Maheshwari 