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# IIT-JEE-Mathematics-Screening-2002

SCREENING
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1. Let ω=-1/2+i √3/2 . Then the value of the determinant

(A) 3ω
(B) 3ω(ω-1)
(C) 3ω2
(D) 3ω(1-ω)

2. For all complex numbers z1,z2 satisfying |z1 |=12 and |z2-3-4i|=5, the minimum value of |z1-z2 | is:
(A) 0
(B) 2
(C) 7
(D) 17

3. If a1 a2,…..,an are positive real numbers whose product is a fixed number c, then the minimum value of a1+a2+…+an-1+2an is

(A)       n(2c)1/n
(B)       (n+1)c1/n
(C)       2nc1/n
(D)       (n+1)(2c)1/n

4.         Suppose a, b, c are I A.P. and a2, b2, c2 are in G.P. If a<b<c  and  a+b+c=3/2, then the value of is

(A)       1/2√2
(B)       1/ 2√3
(C)       ½ - 1/√3
(D)       ½ - 1/√3

5.         The number of arrangements of the letters of the word BANANA in which the two N' s do not appear adjacently is
(A)       40
(B)       60
(C)       80
(D)       100

6.         The sum

if p > q is maximum when m is
(A)       5
(B)       10
(C)       15
(D)       20

7.         The number of values of k for which the system of equations
(k+1)x + 8y=4k
kx +(k+3)y = 3k -1
has infinitely many solution is
(A)       0
(B)       1
(C)       2
(D)       Infinite