JEE Advanced 2020 Full Test 6 Paper 1

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Question : 43 of 54

Marks: +1, -0

A chord AB, which is bisected at (1,1) is drawn to the hyperbola x2+4xy−y2−3=0 with centre 'C' which intersects its asymptotes in E and F. Then

Radius of the circum circle of ∆ CEF is √2
It ek be the eccentricity of hyperbola x2+4xy−y2−3k=0‌∀k=1,2,3,.....2014, then ∏k=12014ek=21007
Slope of the line ⟂ to the segment AE is ‌
1
3
All A,B,C cannot be true simultaneously

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