Please login and get a subscription to view all 68 questions. You can view 5 questions without a subscription.
1
The coordinates of the vertex of the parabola y = x2 – 2x + 3 is ______
A
(2, 4)
B
(1, 3)
C
(2, 3)
D
(1, 2)
2
Which of the following includes all the elements of set B = {x : x is an integer, x2 ≤ 4}?
A
{–1, 0, 1, 2, 3}
B
{0, 1, 2, 3, 4}
C
{–2, –1, 0, –1}
D
{–2, –1, 0, 1, 2}
3
If p + 2q + r = 7, p + 3r = 11 and 2p – 3q = 1, then what is the value of (p2 + q2 + r2 )?
A
11
B
9
C
14
D
10
4
If the equation of the base of an equilateral triangle is x + y – 6 = 0 and the coordinates of its opposite vertex is (1, 3), then what is the area of the triangle?
A
2/√3
B
1/√3
C
5/√3
D
4/√3
5
For what value of K, the points (K, 2), (3, 5) and (9, 8) are collinear?
A
3
B
-3
C
-6
D
6
6
Which of the following includes all the subsets of set {a, b}?
A
ϕ, {a}, {b}, {a, b}
B
ϕ, {a}, {b}
C
{a}, {b}, {a, b}
D
{a}, {b}
7
If f(x) = [(x + 3)/(x2 + 1)], then what is the value of f`(1)?
A
–3/2
B
5/2
C
–5/2
D
3/2
8
Which of the following is an example of equivalent set?
A
P = {3, 6, 9, 12, 15} and Q = {x : x = 3n and 1 ≤ x < 6}
B
P = {5, 25, 125, 625} and Q = {x : x = 5n and 1 ≤ x ≤ 3}
C
P = {a, b, c, d} and Q = {d, c, a, b, e}
D
P = {2, e, 4, 5, g} and Q = {g, 1, 2, 4, 5, 6}
9
What is the distance between the points (4, 5) (7, 9)?
A
6
B
5
C
4
D
3
10
If f(x) = xn+2 and f`(1) = 14, then what is the value of n?
A
14
B
12
C
11
D
10