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![[Post New]](/templates/default/images/icon_minipost_new.gif) 5 Feb 2008 23:21:59 IST
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if z1 satisfies |z1 - 1|=1 and z2 satisfies | z - 4i|=1,then |z1 - z2|max - |z1 - z2|min=?
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"Many of the things you can count,dont count....
Many of the things you cant count,really do count...."-Albert Einstein
"The important thing in science is not so much to obtain new facts as to discover new ways of thinking about them"-William Bragg
"An inexplicable fact is infinitely preferable to an incomprehensible mystery"-F. Soddy
RISHIPRATIM MAZUMDAR
NIT DURGAPUR
1ST YEAR,ELECTRONICS AND COMMUNICATIONS
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5 Feb 2008 23:37:30 IST
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is it 3-root29(though it is probable that i am wrong)
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5 Feb 2008 23:41:00 IST
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the ans is 4
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"Many of the things you can count,dont count....
Many of the things you cant count,really do count...."-Albert Einstein
"The important thing in science is not so much to obtain new facts as to discover new ways of thinking about them"-William Bragg
"An inexplicable fact is infinitely preferable to an incomprehensible mystery"-F. Soddy
RISHIPRATIM MAZUMDAR
NIT DURGAPUR
1ST YEAR,ELECTRONICS AND COMMUNICATIONS
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5 Feb 2008 23:45:44 IST
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Let I z1-1 I =1 applying I Iz1I - Iz2I I <= Iz1+-z2I <=Iz1I + Iz2I IIz1I - I1II <= Iz1-1I<=Iz1I+I1I u get thus I Iz1I -1 I <=1 -1<=Iz1I -1<=1 min value of Iz1I = 0 and max is2 now I Iz2I - I4iI I<=Iz2-4i I <= Iz2I + I4iI from this I Iz2I -4 I <=1 -1<= Iz2I -4<=1 min value of Iz2I is 3 and max value is 5 thus I Iz1I - Iz2I I<=Iz1-z2I <= Iz1I + Iz2I thus max value will be 2+5=7 min value will be I0-3I =3 thus 7-3 =4
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5 Feb 2008 23:46:08 IST
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Hey, it means the first circle is at (1,0) the otehr one at 0,4
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GIVE LIFE THE BEST....srini...
DO OR DIE, OR BETTER NEVER TRY!!
I dont want to be the most intelligent among the ten.i pray the other nine RE fools!???!!!!!!
it doesn't matter if you win... whats important to me is i win!!!!!!!! |
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5 Feb 2008 23:55:55 IST
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guyz its much simpler by unit circle method The gvn eqns represent 2 unit circles, one wid centre 0,4 anoder centre 1,0 max dist= dist between centres + r1 +r2 =sqrt(17)+2 min dist simlarly is dist betw centre-r1-r2 =sqrt(17)-2 difference between max and min dist is 4
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6 Feb 2008 00:01:28 IST
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hey i hav a prob.............why cant this ques be done by unit circle concept........can anyone get the ans by that method???
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6 Feb 2008 01:02:48 IST
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still waiting for an ans......
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6 Feb 2008 01:17:31 IST
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abhijith scroll up i hav gvn da ans n method
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6 Feb 2008 03:09:16 IST
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thanks!! i used the same concept ...........but when i got root17+2
i did not proceed further thinking i wont get the ans
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