1arey yeh 2008 ka hi tha... graph draw karlo :)
PLS DO 2ND AND 3RD QUESTIONS AND PLS INCLUDE COMPLETE SOLUTIONS [1]
LetA,B, C be three sets of complex numbers as defined below
A = {z : Im(z)≥1}
B = {z :|z-2-i |=3}
C = {z :Re((1-i)z) =√2}
Q.1 The number of elements in the setA∩B∩C is
(A) 0
(B) 1
(C) 2
(D)∞
Q.2 Let z be any point inA∩B∩C. Then, |z+1-i|2 + |z-5-i|2 lies between
(A) 25 and 29
(B) 30 and 34
(C) 35 and 39
(D) 40 and 44
Q.3 Let z be any point inA∩B∩C and let w be any point satisfying |w-2-i | < 3. Then, |z|-|w|+3 lies between
(A) -6 and 3
(B) -3 and 6
(C) -6 and 6
(D) -3 and 9
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10 Answers
11I found out first one, sky
I need solution for the other two
1now u can easily find z' :: the point of intesection of C and B.
then put in the expression of q.2 to get the ans :)
1q.3 u know ωsatisfies any point 'within' the circle.
and z=z' .
now find the maximum n min of the given expression (from graph)..
106
this was the soln given by IIT-Delhi .. Ek question aur 3 sahii answers aur woh bhi paragraph mein??
1haan ashish fjee also gave three ans ...
but i think banake D aya tha... i dun remember exactly...