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NARAYANA IIT/PMT ACADEMY
JEE ADVANCE : 2013
S 1 represent the inside part of circle |z| = 4
By putting z = x + iy, we get S2 3x y 0
S 3 represent the right part of y-axis
S is the shaded region in above diagram
Now A
2 2 2
r 2 r r 20
4 3 4 3 4 3
54 min 1 3i z
z
S
(PAPER – II) CODE: 0
(A) 2 3 (B) 2 3 (C) 3 3 (D) 3 3
2
2
2
2
Ans (C)
Sol Min |1 – 3i – z| = minimum distance of point A 1, 3 z S from region S
= AB distance in diagram
3 3 3 3
2 2
Paragraph for Question 55 and 56
A box B 1 contains 1 white ball, 3 red balls and 2 block balls Another box B 2 contains 2 white balls, 3 red
balls and 4 black balls A third box B 3 contains 3 white balls, 4 red balls and 5 black balls
55 If 1 balls is drawn from each of the boxed B 1 , B 2 the probability that all 3 drawn balls are of the
same colour is
(A) 82
(B) 90
(C) 558
(D) 566
648
648
648
648
Ans
Sol
(A)
Required probability
1 2 3 3 3 4 2 4 5
6 9 12 6 9 12 6 9 12
82
648
56 If 2 balls are drawn (without replacement) from a randomly selected box and one of the balls is
white and the other balls is red, the probability that these 2 balls are drawn from box B 2 is
(A) 116
(B) 126
(C) 65
(D) 55
181
181
181
181
Ans (D)
Sol Required probability
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