the shaded portion in the graph is represented by

• A. y + x - x ≤ 0, y - x ≤ 0
• B. y - x + x, 3 ≤ 0, y - x ≥ 0
• C. y + x - 3 ≥ 0, y + x ≤ 0
• D. y - x + x3 ≥ 0, y + x ≤ 0

In the diagram, EFGH is a cyclic quadrilateral in which EH || FG, EG and FH are chords. If< FHG = 424° and< EFH = 34°

• A. 34°
• B. 42°
• C. 52°
• D. 76°

The grades of 36 students in a class test are as shown in the pie chart. How many student has excellent?

• A. 7
• B. 8
• C. 9
• D. 12

If 2₉ x (Y3)₉ = 3₅ x (Y3)₅, find the value of Y.

• A. 4
• B. 3
• C. 2
• D. 1

In the figure, PQRS is a circle with ST||RQ. Find the value of x if PT = pS

• A. 70°
• B. 55°
• C. 40°
• D. 35°

Find the value of X if \(\frac{\sqrt{2}}{x+\sqrt{2}}=\frac{1}{x-\sqrt{2}}\)

• A. 3√2+4
• B. 3√2-4
• C. 3-2√2
• D. 4+2√2

Find the value of L in the frustum

• A. 5cm
• B. 6cm
• C. 7cm
• D. 8cm

Find the volume of solid generated when the area enclosed by y = 0, y = 2x, and x = 3 is rotated about the x-axis.

• A. 81 π cubic units
• B. 36 π cubic units
• C. 18 π cubic units
• D. 9 π cubic units

Express \(\frac{1}{x^{3}-1}\) in partial fractions

• A. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x + 2)}{x^{2} + x + 1})\)
• B. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{x - 2}{x^{2} + x + 1})\)
• C. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 2)}{x^{2} + x + 1})\)
• D. \(\frac{1}{3}(\frac{1}{x - 1} - \frac{(x - 1)}{x^{2} - x - 1})\)

In the figure, TZ is tangent to the circle QPZ. Find x if TZ = 6 units and PQ = 9 units

• A. 3
• B. 4
• C. 5
• D. 6