MATH Mockboard 2

Question 1

The centroid of the area bounded by the parabola y2 = 4ax and the line x = p coincides with the focus of the parabola. Find the value of p.
A. 3/5 a
B. 5/3 a
C. 2/5 a
D. 5/2 a

Answer 1

5/3 a

Question 2

Find all values of z for which e^4z = i
A. [ (π/6) + (k π/2) ] i
B. [ (-π/6) + (k π/2) ] i
C. [ (π/8) + (k π/2) ] i
D. [ (-π/8) + (k π/2) ] i

Answer 2

[ (π/8) + (k π/2) ] i

Question 3

What is b so that the points (-2, -1, -3), (-1, 0, -1) and (a, b, 3) lie on a straight line?
A. 2
B. 4
C. 3
D. 1

Answer 3

2

Question 4

What is a so that the points (-2, -1, -3), (-1, 0, -1) and (a, b, 3) lie on a straight line?
A. 2
B. 4
C. 3
D. 1

Answer 4

1