WAEC Past Questions and Answers - Page 3012

A state is a political organization with a centralized government that maintains a monopoly by use of force within a certain geographical territory. It must be able to maintain law and order, enforce obedient from its citizens and defend its territoery from external / internal attacks when the need arises.

The theory of Doctrine of Separation of Power was first propounded by Montesquieu, a French scholar in and 1747 published in his book ‘Espirit des Louis’ (The spirit of the laws). Montesquieu found that if the power is concentrated in a single person’s hand or a group of people then it results in a tyrannical form of government.

x = 65^o (An interior angle of a cyclic quadrilateral = opposite exterior angle).

Communism is a political and economic system that seeks to create a classless society in which the major means of production, such as mines and factories, are owned and controlled by the public. it is a system of government in which all property is owned by the community and each person contributes and receives according to their ability and needs.

From the diagram, XYZQ is a parallelogram. Thus, |YZ| = |XQ| = |PX|; \(\bigtriangleup\)PXY, Let the area of XYZQ = A₁, the area of \(\bigtriangleup\)PXY

= Area of \(\bigtriangleup\)YZR = A₂

Area of \(\bigtriangleup\)PQR = A = A₁ + 2A₂

But from similarity of triangles

\(\frac{\text{Area of PQR}}{\text{Area of PXY}} = (\frac{PQ}{PX})^2 = (\frac{QR}{XY})^2\)

\(\frac{A}{A_2} = (\frac{2}{1})^2 = \frac{2}{1}\)

A = 4A₂ But, A = A₁ + 2A

A₁ = 4A₂ - 2A₂

A₁ = 2A₂

\(\frac{A_1}{A_2}\) = 2

A₁:A₂ = 2:1


Area of XYZQ:Area of \(\bigtriangleup\)YZR = 2:1