P-y=?T"2y!6YD:\$y`           8 8     8?88;?88 8            @     <<|<|~~B~||~6?   8 8     8?88;?88 8   ?   B    H  @BBBB@(x888@b@BB8<8h@6           8 8     888;888     !       B    H  <BBBB|D D@@|R|BB DD T|           8?;;8   ??>;?8?  &0    2   0"   ! (  B|~|@*D x88@J@|| DD ??;;8   ;8     0      ? <<@B@~:@     mv      ꔫ5)Wh    ? $I)($   BI"IDB!8    |0!H  >  ?`DB!B" s    / $P    ? "@"   0!g滂      (U      !H%(I/     s!$I$A    A0B HB  '0aB!B!`@  ?  x    ""   0#۵_   ? *IUUT   'ؑ"))%D     bDI"!Fc#  ?aA@!a 8 "B!BD `A  @  ? $   " !"(   ('W[       |ԒUYI+>      ;"DIII"D     ! D"H!   1 AHAa    BB!BB0`     $   " ~~!(  ??jV?    i"UUD     .D̈RQIJ3"v   ?b1B "D"DBF?  c@""!DDA c  0 `@@!!!! x  8  $   B  H   !/-մ      E*TO     RIJI     $$H!C1   a B"!DB@! p``"!!D!  T  $  ?    6l_ `     EET*H   ?"II%DHK  # AD"H 0   a ADD"!D"" @a0 ?B!!B  8888 8p88?8888;88?          @  8 88 8p88?8888;88?          ??>8???8         |pD (>?>;;;?;?8??88??? BDD ~BDBx@  DT ???        ????@ 8888 888888888;888          >::>99>>99;; >>::88::88>>99;;99;;99;;99;;>>::88::88>>99;;9>;;99;;9>;;>55,55,",55,"@# # <@$y\\\n]\%y(yf]y*y2y2y\%X![! @P!!0  K SR P"5" "23613"+"256"*"23614","0":"23613"+"1"+"256"*"23614","0":ٰ"9":ڰ"1":"1":"0","0";" STOP TAPE & press ENTER ":"0":"24" "200" "96","167":"63","0":"0","11";" HI THERE ";"19","9";" Geometry 5 ":"72","24":"103","0":"72","15":"103","0":"9000" dqu="0":ٰ"9":o$=" ":p$(3,15):u="0":v="0":"300" PBi=(*3)+"1":"9","31";"":j="1"̰"3":i>"3"i="1" U i=ak=j Wj;". ";p$(i):i=i+"1":j `"14","0";" PRESS KEY  1  TO  3 ":0,64@:167,0:0,557:167,0:"0":q$=:q$<"49"ůq$>"51""96" iް"1":"0","64":"167","0":ް"0":"14","0";o$;o$;"14","7";"YOUR ANSWER No. ";q$:"48","68":"152","0":"0","-16":"-152","0":"0","16" lq$=k"116" mp"16","0";" SORRY  Correct answer is no. ";k:"0","48":"56","0":"0","-9":"-56","0":"0","9" nAv=v+"1":װ".5","-10":װ"1.5","-20":"19","0";a$::"120" t9۰"1":"17","8";" * WELL DONE * ":۰"0":u=u+"1" w<װ".2","2":װ".2","2":װ".2","4":װ".2","4":װ".5","9" xS"19","0";a$:a$="":"9000":"3":ڰ"3"::"3","6";" TOTAL CORRECT: ";u y0"6","6";" TOTAL INCORRECT: ";v:"122"+qu z"9000":ڰ"5":"5":: }J"16","5";"MORE EXAMPLES? y OR n":"0":q$=:q$"y"q$"n""125" q$="y""5":ڰ"5":: "200":"0","14";" END ";"21","9";"Press any key":"112","175":"40","0":"0","-8":"-40","0":"0","8":"0":"6" Jٰ"2":ڰ"7":"7"::"98","126":"60","-60":"98","66":"60","60" ^30,-30,-:-30,-30,-:-30,-30,-:-30,30,- ѡ-30,30,-:30,30,-:30,30,-:30,-30,-:9 :9 ,14;"ROSE";10 ,12 ;"SOFTWARE": ,ڰ"5":"5"::"900":212,128,8*:"236","128":"-36","0":"0","2":"212","128":"0","2":"6","24";"O";"6","26";"P";"6","31";"T" /i=((*5)+5)*2:j=(*4)+1:"1","0";"The radius of the";"2","0";"larger circle";"3","0";"centre O = ";i;"cm." 2{"5","0";"The radius of the";"6","0";"smaller circle";"7","0";"centre P = ";i/2+j;"cm.";"9","0";"OP = ?" 5p$(1)=(i/2-j)+"cm":p$(2)=((3*i/2+j)/2)+"cm":p$(3)=(i/2-j+1)+"cm":a=1:a$=" SINCE OP = OT - PT = "+i+"cm-"+(i/2+j)+"cm ":80P J"900":"230","106":"-58","0":"9","25";"P";"5","25";"O";"9","20";"A";"9","29";"B":"202","126":"0","-20" M|"217","104":"0","4":"187","104":"0","4":"2","0";"If AP=PB";"4","0";"then it is";"6","0";"true that:-" Pp$(1)="APO=90":p$(2)="OP=half radius":p$(3)="OP = AP":a$="  OP is called the   perpendicular bisector of AB ":80P h1"900":"910":"8","23";"y";"7","29";"z" nL"2","0";"If ABP=z";"4","0";"and ADC=y";"6","0";" then:-" qp$(1)="y=z":p$(2)="y+z=180":p$(3)="90+y=z":a$=" AN EXTERIOR OF A CYCLIC QUAD. = THE INTERIOR OPPOSITE ANGLE ":80P "935":i=(*5)*10 +100d:"12","18";"Q";"7","29";"?";"11","22";"^";"12","22";i;"":"180","100":-9 ,-3,-/3 "2","0";"If QDC=";i;"";"4","0";" Then ";"6","0";" ABP=?":p$(1)=(180-i)+"":p$(2)=i+"":p$(3)=(i-30)+"" ^a$=" "+i+" is ext. of cyclic quad. SO ABC="+i+" AND ABP=180-"+i+"":80P N"935":i=((*4)+5)*10 :j=((*4)+3)*10 Y"3","26";"?";"7","29";i;"";"12","24";j;"->";"8","31";"P";"12","30";"Q" "2","0";"If ABP=";i;"";"4","0";"and BQC=";j;"";"7","0";" Then  DAB=?":p$(1)=(180-i-j)+"":p$(2)=(i+5)+"":p$(3)=(90Z+j)+"" ha$=" CBQ="+i+" (vert.opp.s) SO BCQ= 180-"+i+"-"+j+" THEN opp. cyclic quad. ":80P `"900":"200","171":"-80","-43":"80","-43":"181","160":"20","-32":"-20","-32" K"176","98":"2","5":"4","-2":"177","157":"1","-4":"5","2" Ҁ"5","14";"O";"1","21";"T";"10","21";"S";"2","0";"OT and OS";"4","0";"are tangents.";"7","0";" Always:- " բa$=" TANGENTS FROM AN EXTERNAL POINT ARE EQUAL IN LENGTH ":p$(1)="OT=OS":p$(2)="OT=2 x radius":p$(3)="OT+OS=2xxr":80P "980":"940":"108","26":"-108","-26":"103","-30":"5","19";"P";"2","29";"Q";"8","19";"R";"10","28";"S" B"15","0";" OP X OQ = OR X OS = OT ":"9000":ڰ"5":"5": ;"970":"940":"130","0":"201","128":"-34","-18" A"6","19";"P";"6","25";"C";"6","30";"Q";"9","20";"S" i=(*3):"2","0";"C is the centre";"4","0";"If OT=";4+4*i;"cm";"6","0";"and OP=";5+5*i-2*(i=2)-(3+3*i-4*(i=2));"cm";"8","0";"So CS=?" p$(1)=(3+3*i-4*(i=2))+"cm":p$(2)=((5+5*i-2*(i=2))-(3+3*i-4*(i=2)))+"cm":p$(3)=(4+3*i-4*(i=2))+"cm" a$=" OT=OPxOQ SO "+(4+4*i)+"="+p$(2,1)+"x("+p$(2,1)+"+2r)   SO CS=r="+p$(1,14):80P /"980":"990":"234","144":"-72","-10": `"3","4";"FOR AN";"4","1";"INTERNAL POINT";"15","1";" PN x NQ = RN x NS ":"9000" 07"970":"940":"990":"234","144":"-114","-16" 3Wi=(*4)+2:i=i+(i=5):j=(*5)+2:k=j*(j+12 /i+i) 6;ް"1":"2","26";"2";"7","25";"6";"4","28";i:ް"0" 9j"2","17";"";k;"2","0";"NQ=";i;"cm":"RN=2cm":"NS=6cm":"OT=";k;"cm";"8","0";" SO  OP=? " \ 0  0M333Cy36y36y1y-y1y3,y2y3,'66M2y-yP=v> P P P 88 M)DMK8 !v>>BB<DHpHDB@~BfZBBBBbRJFB