Using a data sample of 980 fb−1 collected with the Belle detector at the KEKB asymmetric-energy e+e− collider, we study the processes of {Xi}_c^0to Lambda {overline{K}}^{ast 0} , {Xi}_c^0to {Sigma}^0{overline{K}}^{ast 0} , and {Xi}_c^0to {Sigma}^{+}{K}^{ast -} for the first time. The relative branching ratios to the normalization mode of {Xi}_c^0to {Xi}^{-}{pi}^{+} are measured to beBΞc0→ΛK¯∗0/BΞc0→Ξ−π+=0.18±0.02stat.±0.01syst.,BΞc0→Σ0K¯∗0/BΞc0→Ξ−π+=0.69±0.03stat.±0.03syst.,BΞc0→Σ+K∗−/BΞc0→Ξ−π+=0.34±0.06stat.±0.02syst.,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ {\\displaystyle \\begin{array}{c}\\mathcal{B}\\left({\\Xi}_c^0\\to \\Lambda {\\overline{K}}^{\\ast 0}\\right)/\\mathcal{B}\\left({\\Xi}_c^0\\to {\\Xi}^{-}{\\pi}^{+}\\right)=0.18\\pm 0.02\\left(\\mathrm{stat}.\\right)\\pm 0.01\\left(\\mathrm{syst}.\\right),\\\\ {}\\mathcal{B}\\left({\\Xi}_c^0\\to {\\Sigma}^0{\\overline{K}}^{\\ast 0}\\right)/\\mathcal{B}\\left({\\Xi}_c^0\\to {\\Xi}^{-}{\\pi}^{+}\\right)=0.69\\pm 0.03\\left(\\mathrm{stat}.\\right)\\pm 0.03\\left(\\mathrm{syst}.\\right),\\\\ {}\\mathcal{B}\\left({\\Xi}_c^0\\to {\\Sigma}^{+}{K}^{\\ast -}\\right)/\\mathcal{B}\\left({\\Xi}_c^0\\to {\\Xi}^{-}{\\pi}^{+}\\right)=0.34\\pm 0.06\\left(\\mathrm{stat}.\\right)\\pm 0.02\\left(\\mathrm{syst}.\\right),\\end{array}} $$\\end{document}where the uncertainties are statistical and systematic, respectively. We obtainBΞc0→ΛK¯∗0=3.3±0.3stat.±0.2syst.±1.0ref.×10−3,BΞc0→Σ0K¯∗0=12.4±0.5stat.±0.5syst.±3.6ref.×10−3,BΞc0→Σ+K∗0=6.1±1.0stat.±0.4syst.±1.8ref.×10−3,\\documentclass[12pt]{minimal}\t\t\t\t\\usepackage{amsmath}\t\t\t\t\\usepackage{wasysym}\t\t\t\t\\usepackage{amsfonts}\t\t\t\t\\usepackage{amssymb}\t\t\t\t\\usepackage{amsbsy}\t\t\t\t\\usepackage{mathrsfs}\t\t\t\t\\usepackage{upgreek}\t\t\t\t\\setlength{\\oddsidemargin}{-69pt}\t\t\t\t\\begin{document}$$ {\\displaystyle \\begin{array}{c}\\mathcal{B}\\left({\\Xi}_c^0\\to \\Lambda {\\overline{K}}^{\\ast 0}\\right)=\\left(3.3\\pm 0.3\\left(\\mathrm{stat}.\\right)\\pm 0.2\\left(\\mathrm{syst}.\\right)\\pm 1.0\\left(\\mathrm{ref}.\\right)\\right)\\times {10}^{-3},\\\\ {}\\mathcal{B}\\left({\\Xi}_c^0\\to {\\Sigma}^0{\\overline{K}}^{\\ast 0}\\right)=\\left(12.4\\pm 0.5\\left(\\mathrm{stat}.\\right)\\pm 0.5\\left(\\mathrm{syst}.\\right)\\pm 3.6\\left(\\mathrm{ref}.\\right)\\right)\\times {10}^{-3},\\\\ {}\\mathcal{B}\\left({\\Xi}_c^0\\to {\\Sigma}^{+}{K}^{\\ast 0}\\right)=\\left(6.1\\pm 1.0\\left(\\mathrm{stat}.\\right)\\pm 0.4\\left(\\mathrm{syst}.\\right)\\pm 1.8\\left(\\mathrm{ref}.\\right)\\right)\\times {10}^{-3},\\end{array}} $$\\end{document}where the uncertainties are statistical, systematic, and from mathcal{B}left({Xi}_c^0to {Xi}^{-}{pi}^{+}right) , respectively. The asymmetry parameters alpha left({Xi}_c^0to Lambda {overline{K}}^{ast 0}right) and alpha left({Xi}_c^0to {Sigma}^{+}{K}^{ast -}right) are 0.15 ± 0.22(stat.) ± 0.04(syst.) and −0.52 ± 0.30(stat.) ± 0.02(syst.), respectively, where the uncertainties are statistical followed by systematic.