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If alpha, beta are roots of equation x^(2)-(a-1)x+(a^(2))/(4)=0 and delta, gamma are roots of equation x^(2)-(a+1)x+1=0, A quadrilateral is constructed in real plane by taking vertices as (alpha, beta), (beta, alpha), (delta, gamma), (gamma, delta). Find the value of 'a' such that quadrilateral PQRS never cuts the circle (x-1)^(2)+(y-1)^(2)=a^(2). |
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