## Search found 7 matches

- 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 $PQRS$?

- 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

Thanks in advance

- 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 .

- Fri Dec 15, 2017 9:36 pm
- Forum: Number Theory
- Topic: Divisibility
- Replies:
**1** - Views:
**3256**

### Divisibility

Find n such that 2n31024 − 1.

- Thu Dec 14, 2017 7:09 pm
- Forum: Number Theory
- Topic: GCD
- Replies:
**1** - Views:
**3194**

### GCD

gcd(a,0) = ?

- 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 ...

- Thu Dec 14, 2017 6:31 pm
- Forum: Number Theory
- Topic: NUMBER THEORY
- Replies:
**1** - Views:
**3537**

### NUMBER THEORY

please , provr the theorem