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Let the line 2x+3y-k=0,\ k>0 intersect the x-axis and y-axis at points A and B, respectively. If the circle having AB as a diameter is x^2+y^2-3x-2y=0 and the length of the latus rectum of the ellipse x^2+9y^2=k^2 is \dfracmn, where m and n are coprime, then 2m+n is equal to: | Watch the step-by-step video solution for this NIMCET PYQ.