Evaluate \(\frac{2}{6-5\sqrt{3}}\)

• A. \(-\left(\frac{12}{39}-\frac{10\sqrt{3}}{39}\right)\)
• B. \(\frac{12}{39}-\frac{10\sqrt{3}}{39}\)
• C. \(-\left(\frac{12}{39}+\frac{10\sqrt{3}}{39}\right)\)
• D. \(\frac{12}{39}+\frac{10\sqrt{3}}{39}\)

The line that divided the word into two is the ………………………….

• (a)Equator
• (b)longitude
• (c)latitude
• (d)pole

God addressed Ezekiel as the Son of Man. This phrase emphasizes the prophet's

• A. humanity
• B. character
• C. humility
• D. elegance

The writer's attitude is one of ________

• A. anger
• B. indifference
• C. sympathy
• D. mockery

Select the option that best explains the information conveyed in the sentence.

Adamu's father a key figure in that ministry?

• A. The ministry trusts Adamu's fatheras a central figure
• B. Adamu's father as a figurehead in the ministry
• C. Adamu's father's position is essential in the ministry
• D. Adamu's father keeps the key to the minstry

The farm machinery that does not have the heat engine is

• A. tractor
• B. bulldozer
• C. mower
• D. combin drill

Ijma as a secondary source of Islamic law implies

• A. analogical deductions
• B. consensus opinion of scholars
• C. norms and traditions
• D. established basis for justice

The opposition to the rebuilding of the temple was resolved by

• A. constant prayer
• B. edict issued by Darius
• C. fighting the opponents
• D. Ezra's dialogue with opponents

The soil around a battery manufacturing factory is likely to contain a high concentration of?

• A. Ca₂₊ salts
• B. Pb₂₊ salts
• C. Mg₂₊ salts
• D. Al₃₊ salts

(a) Without using mathematical tables or calculator, evaluate \(\frac{\frac{3}{2}\log 27 - 3\log 5\sqrt{5}}{\log 0.6}\)

(b) Two linear transformations A and B in the \(O_{xy}\) plane, are defined by :

\(A : (x, y) (x + 2y, -x + y)\)

\(B : (x, y) (2x + 3y, x + 2y)\).

(i) Write down the matrices A and B; (ii) Find the image of the point P(-2, 2) under the linear transformation A followed by B.