Search found 7 matches

by mathlover007
Sun Jun 28, 2020 10:33 pm
Forum: National Math Olympiad (BdMO)
Topic: BdMO-2019/4 secondary
Replies: 0
Views: 109

BdMO-2019/4 secondary

In this figure ABCD is a trapezium where $AB||CD$. $P, Q,R, S$ are the midpoint of $AB,BD,DC,CA$ respectively. $AC$ and $BD$ intersect at point $O$. Area of $\triangle AOB = 2019$ and area of $\triangle COD = 2020$ .What is the area of quadrilateral $PQRS$?
by mathlover007
Sat Dec 22, 2018 8:55 pm
Forum: Geometry
Topic: Centroid Division theorem
Replies: 0
Views: 7665

Centroid Division theorem

Hey! Can anyone please tell me How to prove Centroid Division theorem by using negative homothety?
Thanks in advance
by mathlover007
Wed Jan 03, 2018 9:04 pm
Forum: Number Theory
Topic: Divisibility
Replies: 1
Views: 3331

Divisibility

Prove that any integer of the form ( 4k + 3 ) has a prime factor of the same form .
by mathlover007
Fri Dec 15, 2017 9:36 pm
Forum: Number Theory
Topic: Divisibility
Replies: 1
Views: 3256

Divisibility

Find n such that 2n31024 − 1.
by mathlover007
Thu Dec 14, 2017 7:09 pm
Forum: Number Theory
Topic: GCD
Replies: 1
Views: 3194

GCD

gcd(a,0) = ?
by mathlover007
Thu Dec 14, 2017 7:05 pm
Forum: Divisional Math Olympiad
Topic: BDMO REGIONAL 2017
Replies: 3
Views: 5265

BDMO REGIONAL 2017

In a diagram, two surfaces are partially superimposed in each other. The perimeter of one surface is 201 units and the area is 201 square units. The perimeter of the other surface is 710 units and the area is 710 square units. What is the difference of the area of the two surfaces that is not black ...
by mathlover007
Thu Dec 14, 2017 6:31 pm
Forum: Number Theory
Topic: NUMBER THEORY
Replies: 1
Views: 3537

NUMBER THEORY

please , provr the theorem