detailed solution
Correct option is A
Number of electron pairs(EP)=V+M-C+A2; V=Group number of central atom; M=-H, -X, -OH....monovalent groups attached to central atom ; C=Charge of cation ; A=Charge of anion ; V=2,3.4,5,6,7,8 respectively for 2nd,13th,14th,15th, 16th, 17th, 18th group elements ; Number bond pairs, BP(according to VSEPR theory)=Number of atoms directly attached to central atom; =3,3,2,2 respectively in SO3, XeO3, CO2, SO2 ; ***According to VSEPR theory, double bond and triple bond are counted as one bond pair only ; If the bonded atom is Oxygen..... Magnitude of Oxidation state of central atom= Total bonds ; Number of atoms directly attached to central atom=sigma bonds ; Total bonds-sigma bonds = pi bonds ; Number lone pairs on central atom(LP)=EP-BP ; =0,1,0,1 respectively in SO3, XeO3, CO2, SO2, ; SO3-'3' bp +'0' lp on central atom ; sp2-Trigonal planar ; Total 6 lone pairs/molecule ....Orientation of electron pairs....Trigonal XeO3-'3' bp +'1' lp on central atom ; sp3-Pyramidal; Total 7 lone pairs/molecule ....Orientation of electron pairs....Tetrahedral CO2-'2' bp +'0' lp on central atom ; sp-Linear ; Total 4 lone pairs/molecule ....Orientation of electron pairs....Linear SO2-'2' bp +'1' lp on central atom; sp2-Angular or bent or V-shape ; Total 5 lone pairs/molecule ....Orientation of electron pairs....Trigonal Note; Each double bonded oxygen atom has '2' lone pairs on it ; SO3 : Magnitude of Oxidation state of central atom= Total bonds=6 ; Number of atoms directly attached to central atom=sigma bonds=3 ; Total bonds-sigma bonds = pi bonds=3--'1' pπ-pπ and '2' dπ-pπ bonds ; XeO3 : Magnitude of Oxidation state of central atom= Total bonds=6 ; Number of atoms directly attached to central atom=sigma bonds=3 ; Total bonds-sigma bonds = pi bonds=3-- '3' dπ-pπ bonds ; CO2 : Magnitude of Oxidation state of central atom= Total bonds=4 ; Number of atoms directly attached to central atom=sigma bonds=2 ; Total bonds-sigma bonds = pi bonds=2--'2' pπ-pπ bonds ; SO2 : Magnitude of Oxidation state of central atom= Total bonds=4 ; Number of atoms directly attached to central atom=sigma bonds=2 ; Total bonds-sigma bonds = pi bonds=2--'1' pπ-pπ and '1' dπ-pπ bonds ;