राणासांगा और बावर का युद्ध कब हुआ था
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α,β are the zeroes of x2−(k+6)x+2(2k−1)
i.e, α+β=k+6 ( Sum of roots of quadratic )
and αβ=2(2k−1) ( Product of roots )
According to question, α+β=21αβ
⇒k+6=22(2k−1)=2k−1
⇒k+6=2k−1
⇒k=7
Hence, the answer is 7.
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