# See U There

Topics: Integer, Quadratic equation, Real number Pages: 2 (296 words) Published: October 3, 2012
1. The set of all integers x such that |x – 3| < 2 is equal to (a) {1, 2, 3, 4, 5} (b) {1, 2, 3, 4}
(c) {2, 3, 4} (d) {-4, -3, -2}
2. The Range of the function f(x) = x 2
2 x

is
(a) R (b) R – {1}
(c) (-1) (d) R – {-1}
3. The value of (i)i is
(a) ω (b) ω2
(c) e-π/2 (d) 2√2
4. ( )
( )
4
5
cos isin
icos sin
θ + θ
θ + θ
is equal to
(a) cos− isin θ (b) cos9θ − isin9θ
(c) sin θ − icosθ (d) sin 9θ − icos9θ
5. The roots of the quadratic equation ax2 + bx + c = 0 will be reciprocal to each other if (a) a = 1/c (b) a = c
(c) b = ac (d) a = b
6. If α, β are the roots of ax2 − 2bx + c = 0 then α3β3 + α2β3 + α3β2 is (a) 2 ( )
3
c c 2b
a
+ (b)
3
3
bc
a
(c)
2
3
c
a
(d) None of these
7. The sixth term of a HP is 1/61 and the 10th term is 1/105. The first term of the H.P. is (a) 1/39 (b) 1/28
(c) 1/17 (d) 1/6
8. Let Sn denote the sum of first n terms of an A.P.. If S2n = 3Sn, then the ratio S3n / 5n is equal to (a) 4 (b) 6
(c) 8 (d) 10
9. Solution of |3 – x| = x – 3 is
(a) x < 3 (b) x > 3
(c) x > 3 (d) x < 3
10. If the product of n positive numbers in 1, then their sum is (a) a positive integer (b) divisible by n
(c) equal to n 1
n
+ (d) never less than n