(a) Simplify : \(\frac{1}{1 - \cos \theta} + \frac{1}{1 + \cos \theta}\) and leave your answer in terms of \(\sin \theta\).

(b) Find the equation of the line joining the stationary points of \(y = x^{2} (x - 3)\) and the distance between them.

An Imam leading prayer, forgetfully rises when he is to sit, he is alerted by saying

• A. astaghfirullah
• B. Allahu Akba
• C. Subhanallah
• D. subhana rabbial Azim

Choose the option that best best completes the gap(s). your performance will improve if you ..... hard?

• A. are practising
• B. practical
• C. would practice
• D. practise

Spines and shells on animals are adaptation for

• A. camouglage
• B. chemical defence
• C. physical defence
• D. mimicry

Management practices in a piggery include the following except

• A. disinfecting pens
• B. regular cleaning of feed and water troughs
• C. isolating sick animals
• D. weekly vaccination of pigs

A measure that can be adopted to correct a country 's balance of payments deficit is ____________

• A. Allow the currency to appreciate to encourage imports.
• B. Allow the currency to depreciate to encourage imports
• C. Adopt import substitution strategy
• D. Restrict trade with all countries

The following text is adapted from Oscar Wilde’s 1891 novel The Picture of Dorian Gray. Dorian Gray is taking his first look at a portrait that Hallward has painted of him. Dorian passed listlessly in front of his picture and turned towards it. When he saw it he drew back, and his cheeks flushed for a moment with pleasure. A look of joy came into his eyes, as if he had recognized himself for the first time. He stood there motionless and in wonder, dimly conscious that Hallward was speaking to him, but not catching the meaning of his words. The sense of his own beauty came on him like a revelation. He had never felt it before. According to the text, what is true about Dorian?

• A) He wants to know Hallward
• B) He is delighted by what he sees in the portrait.
• C) He prefers portraits to other types of paintings.
• D) He is uncertain of Hallward

An African port that handles more of other countries products than its own is

• A. Sofala (Beira)
• B. Cape Town
• C. Luanda
• D. Mombasa

3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.

• A. -4/3
• B. -3/4
• C. 3/4
• D. 4/3

In which of the following systems is the power of the component units more than that of the central government?

• A. Monarchical
• B. Unitary
• C. Federal
• D. Confederal