JEE Advanced 2021 Full Test 3 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 : 50 of 54
 
Marks: +1, -0
If x+y=3 is tangent at (2,1) on hyperbola, intersects asymptotes at A and B such that AB=82. If centre of hyperbola is (1,1), then least possible value of sum of semi-transverse axis and semi-conjugate axis is pq, where HCF (p,q)=1 and q is irrational number. Then, (
p
q
)
is equal to
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