JEE Advanced 2021 Full Test 1 Paper 1

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SECTION – C (Numerical Answer Type)
This section contains 06 questions. The answer to each question is a NUMERICAL VALUE. For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place; e.g. XXXXX.XX).
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Question : 53 of 54
 
Marks: +1, -0
A function f is defined on the complex number by f(z)=(a+bi)z, where ' a ' and 'b' are positive numbers. This function has the property that the image of each point in the complex plane is equidistant from that point and the origin. Given that |a+bi|=8 and that b2=
u
v
where u and v are coprimes. Find the value of (u+v)−250.
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