Reference no: EM132501573
FPMA0800 Basic Maths - College of Applied Sciences, Ibri
Part A
Question 1. Fill in the following blanks.
(a) The symmetric point of (2, -1) with respect to x -axis is ____.
(b) The slope of line going through points A(0,3), B(2,1) is ____.
(c) Let the line L1 is perpendicular to the line L2. If the slope of L1 is 3 , then the slope of L2 is _____.
Question 2. Circle the correct answer for each of the following.
I) The line that is parallel to 3x + 2y = 5 has slope =
(a) -3 (b) -3/2 (c) 3/2 (d) 3
II) The equation of the circle with centre (2, -5) and radius 3 is given by
(a) (x + 2)2 + (y - 5)2 = 3 (b) (x + 2)2 + (y - 5)2 = 9
(c) (x - 2)2 + (y + 5)2 = 3 (d) (x - 2)2 + (y + 5)2 = 9
III) The area of a semicircle with radius 7 cm is (Π = 22/7)
(a) 22 (b) 44 (c) 77 (d) 154
Part B
1. Find an equation of a line passes through the point (4,2) and parallel to the line y + 3x = 2.
2. Find an equation of a line passes through the points (5, -3) and (7,1).
3. Show that the lines given by the following equations are perpendicular.
L1: 4x + 5y + 7 = 0, L2: 5x - 4y + 9 = 0
Part C
For the sector shown below, find
a. the sector area,
b. the arc length AB.
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