A line cuts x - axis at A and y - axis at B Column - I such that AB =lColumn - II (Locus of the point lies on)A) Circumcentre of ΔOABB) Orthocentre of ΔOABC) Incentre of the ΔOABD) Centroid of the ΔOABp) x2+y2=ℓ29q) x2+y2=ℓ24r) x2+y2=0s) y=x

A) Let A=(a,0),B=(0,b)⇒a2+b2=l2If the circumcentre is (x, y)x=a2,y=b2⇒x2+y2=a2+b24=l24B)  If orthocentre is the point O, then locus contains just one point i.e, x2+y2=0C) Let (x, y) be incentre x=aba+b+l,y=aba+b+l⇒x=yD) Let (x,y) be centroid ⇒x=a3,y=b3⇒x2+y2=l29