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Let (a,b)\subset(0,2π) be the largest interval for which \sin^-1(\sinθ)-\cos^-1(\sinθ)>0,\ θ\in(0,2π), holds. If α x^2+β x+\sin^-1(x^2-6x+10)+\cos^-1(x^2-6x+10)=0 and α-β=b-a, then α is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.