If r>0, - and r, satisfy r =3 and r=4(1+ ) then the number of possible solutions of the pair (r, ) is

JEE Advanced Mathematics question

Not in JEE Main syllabus

If , and satisfy and then the number of possible solutions of the pair is

Answer: (A)

Eliminate : , so

r=4(1+3r)\ ⇒\ -4r-12=0\ ⇒\ (r-6)(r+2)=0\ ⇒\ r=6\ (r>0).

Then $

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Question ID VK-108562