Refrigeration and Air conditioning PDF

Preview

Summary

Download Refrigeration and Air conditioning PDF

Description

CBSEClass–11Mathematics NCERTSolutions Chapter-1Sets Exercise1.1

1.Whichofthefollowingaresets?Justifyyouranswer. (i)ThecollectionofallthemonthsofayearbeginningwiththeletterJ. (ii)ThecollectionoftenmosttalentedwritersofIndia. (iii)Ateamofelevenbest-Cricketbatmenoftheworld. (iv)Thecollectionofallboysinyourclass. (v)Thecollectionofallnaturalnumberslessthan100. (vi)AcollectionofnovelswrittenbythewriterMunshiPremChand. (vii)Thecollectionofallevenintegers. (viii)Thecollectionofquestionsinthechapter. (ix)Acollectionofmostdangerousanimalsoftheworld. Ans.(i)ThecollectionofallmonthsofayearbeginningwithJis{January,June,July},which iswelldefinedandhenceitformsaset. (ii) The collection of most talented writers of India is not well defined because opinions about‘mosttalentedwriters’varyfrompersontopersonandhenceitdoesnotformaset. (iii)Ateamofelevenbest-cricketbatmenoftheworldusnotwelldefinedbecauseopinion about‘best-cricketbatsmen’varyfrompersontopersonandhenceitdoesnotformaset. (iv)Thecollectionofallboysinyourclassiswelldefinedandhenceitformsaset. (v) The collection of all natural numbers less than 100 is {1, 2, 3, ……., 99} which is well definedandhenceitformsaset.

MaterialdownloadedfrommyCBSEguide.com.

1/6

(vi) A collection of novels written by the writer Munshi Prem Chand is well defined and henceitformsaset. (vii) The collection al all even integers is

 which is well

definedandhenceitformsaset. (viii)Thecollectionofquestionsinthischapteriswelldefinedandhenceitformsaset. (ix)Acollectionofmostdangerousanimalsoftheworldisnotwelldefinedbecauseopinion about‘mostdangerousanimals’varyfrompersontopersonandhenceitdoesnotformaset.

2.LetA={1,2,3,4,5,6}.Inserttheappropriatesymbol

or

ontheblankspace:

(i)5_______A (ii)8_______A (iii)0_______A (iv)4_______A (v)2_______A (vi)10_______A Ans.Given:A={1,2,3,4,5,6} (i)5isanelementofsetA 5

A

(ii)8isnotanelementofsetA 8

A

(iii)0isnotanelementofsetA 0

A

(iv)4isanelementofsetA MaterialdownloadedfrommyCBSEguide.com.

2/6

4

A

(v)2isanelementofsetA 2

A

(vi)10isnotanelementofsetA 10

A

3.Writethefollowingsetsinrosterform: (i)A={

isanintegerand

}

(ii)B={

isanaturalnumberlessthan6}

(iii)C={

isatwo-digitnaturalnumbersuchthatthesumofitsdigitsis8}

(iv)D={

isaprimenumberwhichisdivisorof60}

(v)E=ThesetofalllettersinthewordTRIGONOMETRY (vi)F=ThesetofalllettersinthewordBETTER Ans.(i)A={ (ii)B={ (iii)C={

isanintegerand isanaturalnumberlessthan6}

}

A=

B={1,2,3,45}

isatwo-digitnaturalnumbersuchthatthesumofitsdigitsis8}

C={17,26,35,44,53,62,71,80} (iv)D={

isaprimenumberwhichisdivisorof60}

D={2,3,5} (v)E=ThesetofalllettersinthewordTRIGONOMETRY E={T,R,I,G,O,N,M,E,Y} (vi)F=ThesetofalllettersinthewordBETTER MaterialdownloadedfrommyCBSEguide.com.

3/6

F={B,E,T,R}

4.Writethefollowingsetsintheset-builderform: (i){3,6,9,12} (ii){2,4,8,16,32} (iii){5,25,125,625} (iv){2,4,6,……} (v){1,4,9,………,100} Ans.(i)LetA={3,6,9,12}. Hereallobjectsofthesetarenaturalnumbersthataremultiplesof3. A= (ii)LetB={2,4,8,16,32} Hereallobjectsofthesetarenaturalnumbersthatarepowerof2. B= (iii)LetC={5,25,125,625} Hereallobjectsofthesetarenaturalnumbersthatarepowerof5. C= (iv)LetD={2,4,6,……} Hereallobjectsofthesetareevennaturalnumbers. D= (v)LetE={1,4,9,………,100}

MaterialdownloadedfrommyCBSEguide.com.

4/6

Hereallobjectsofthesetareperfectsquare. D=

5.Listalltheelementsofthefollowingsets: (i)A={

isanoddnaturalnumber}

(ii)B={

isaninteger,

}

(iii)C={

isaninteger,

(iv)D={

isaletterintheword“LOYAL”}

(v)E={ (vi)F={

}

isamonthofayearnothaving31days} isaconsonantintheEnglishalphabetwhichprecedesK}

Ans.(i)A={

isanoddnaturalnumber}

A={1,3,5,7,……..} (ii)B={

isaninteger,

}

B={0,1,2,3,4} (iii)C={

isaninteger,

}

C= (iv)D={

isaletterintheword“LOYAL”}

D={L,O,Y,A} (v)E={

isamonthofayearnothaving31days}

E={February,April,June,September,November}

MaterialdownloadedfrommyCBSEguide.com.

5/6

(vi)F={

isaconsonantintheEnglishalphabetwhichprecedesK}

F={B,C,D,F,G,H,J}

6. Match each of the set on the left in the roster form with the same set on the right describedintheset-builderform: (i){1,2,3,6} (a){

isaprimenumberandadivisorof6}

(ii){2,3} (b){

isanoddnaturalnumberlessthan10}

(iii){M,A,T,H,E,I,C,S} (c){

isanaturalnumberanddivisorof6}

(iv){!,3,5,7,9} (d){

isaletterofword“MATHEMATICS”}

Ans.Thesetswhichareinset-builderformcanbewrittenas (a){

isaprimenumberandadivisorof6}={2,3}

(b){

isanoddnaturalnumberlessthan10}={1,3,5,7,9}

(c){

isanaturalnumberanddivisorof6}={1,2,3,6}

(d){

isaletterofword“MATHEMATICS”}={M,A,T,H,E,I,C,S}

Hencethecorrectmatchingis: (i) (ii)

(c) (a)

(iii)

(d)

(iv)

(b)

MaterialdownloadedfrommyCBSEguide.com.

6/6...