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`alpha,beta` are the roots of the equation `(a-2)x^2-(5-a)x-5=0`.Find 'a' if `abs(alpha-beta)=2sqrt6`

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B
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Knowledge Check

  • If tan(alpha/2) and tan(beta/2) are the roots of the equation 8x^2-26x+15=0 then cos(alpha+beta) is equal to

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