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IIT JEE previous years question papers
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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 a 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
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