In triangle FGB, < G = 90^o, < H = 60^o, while in triangle XYZ, < X = 60^o and < Y = 30^o. Form XYZ write down the ratio equal to \(\frac{FG}{FH}\)

A. \(\frac{YX}{ZX}\)

B. \(\frac{YX}{YZ}\)

C. \(\frac{ZX}{YZ}\)

D. \(\frac{YZ}{XY}\)

A pentagon has four of its angles equal. If the size of the fifth angle is 60^o, Find the size of each of the four equal angles.

A. 60^o

B. 108^o

C. 120^o

D. 150^o

E. None of the above

Find the product of (2\(\sqrt{y - 3y}\)) and (3y = 2y)

A. 4y = y²

B. 4y + 9y²

C. 4y - 9y²

D. -4y - 9y²

E. 2y + y²

(\(\frac{x^a}{x^b}\))^{a + b} by (\(\frac{x^{a + b}}{x^{a - b}}\))^{\(\frac{a^2}{b}\)}

A. x^-a2

B. x^b2

C. x^{a2 - b2}

D. \(\frac{1}{x^{a2 + b2}}\)

E. x^{b2 - a2}

What will be the value of k so that the quadratic equation kx² - 4x + 1 = 0 has two equal roots?

A. 2

B. 3

C. 4

D. 8

E. \(\frac{1}{4}\)

Find the solution of the equation x + 2\(\sqrt{x - 8}\) = 0

A. (4, 16)

B. (2, 4)

C. (4, 1)

D. (1, 16)

E. (16, 16)

If it is given that 5^{x + 1} + 5^x = 150, then the value of x is equal to

A. 3

B. 4

C. 1

D. 2

E. \(\frac{1}{2}\)

Solve the system of equation 2^{x + y} = 32, 3^{3y - x} = 27

A. (3, 2)

B. (-3, 2)

C. (3, -2)

D. (-3, -2)

E. (2, 2)

Simplify the given expression \(\sqrt{\frac{1 - cos x}{1 + cos x}}\)

A. \(\frac{1 - cos x}{sin x}\)

B. 1 - cos x

C. sin x

D. 1 + cos x

E. \(\frac{1 + cos x}{sin x}\)

Find the area of the curved surface of a cone whose base radius is 6cm and whose height is 8cm. (take \(\pi\) = \(\frac{22}{7}\))

A. 188.57cm²

B. 1320cm²

C. 188cm²

D. 188.08cm²

E. 10cm²