Give me question paper for IIT JEE mathematics entrance examination in PDF file format ?

Here I am giving you question paper for IIT JEE mathematics entrance examination in PDF file attached with it so you can get it easily..

47. A man walks a distance of 3 units from the origin towards the north-east (N 45° E) direction. From there, he walks a
distance of 4 units towards the north-west (N 45° W) direction to reach a point P. Then the position of P in the Argand
plane is
(A) 3eiπ/4 + 4i (B) (3 − 4i) eiπ/4
(C) (4 + 3i) eiπ/4 (D) (3 + 4i) eiπ/4

49. The number of solutions of the pair of equations
2 sin2θ − cos2θ = 0
2 cos2θ − 3 sinθ = 0
in the interval [0, 2π] is
(A) zero (B) one
(C) two (D) four

52. One Indian and four American men and their wives are to be seated randomly around a circular table. Then the
conditional probability that the Indian man is seated adjacent to his wife given that each American man is seated
adjacent to his wife is
(A) 1/2 (B) 1/3
(C) 2/5 (D) 1/5

63. Which one of the following is a correct statement?
(A) Q1, Q2, Q3, … are in A.P. with common difference 5
(B) Q1, Q2, Q3, … are in A.P. with common difference 6
(C) Q1, Q2, Q3, … are in A.P. with common difference 11
(D) Q1 = Q2 = Q3 = …

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