Holiday Homework dps

8/12/2019 Holiday Homework dps

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ASSIGNMENT-1

Q1.Define a keyword and an identifier?Q2.What is the differene !etween a keyword and a "aria!#e?Q$.What is %eant !y the ter% ase-sensiti"e? Is &'' ase-sensiti"e?

Q(.Why is the %ain)* f+ntion s,eia#?Q. What is the need to in#+de header fi#e iostrea%.h?Q. What is the differene !etween a synta/ and a #o0ia# error?Q. What is %eant !y asadin0 of I3 o,erators?Q4. S+,,ose inte0er "aria!#e a has !een assi0ned a "a#+e $. What wo+#d !e the

res+#t of the fo##owin0 e/,ressions5a* a 67 $!* a 67 $ ' 1* )a67 $* ' 1d* a'' 8 $e* ''a8 $

Q9. Differentiate !etween5a* onstant and "aria!#e!* in and o+t* 66 and 88 o,erators

Q1:. Write &'' state%ents for the fo##owin05a* Assi0n a "a#+e to the "aria!#es a;!;.!* Assi0n the "a#+e stored in "aria!#e n to "aria!#e n1.* Dis,#ay the "a#+e of "aria!#es 1; 2; $ in different #ines.d* Dis,#ay the "a#+e of "aria!#es 1; 2; $ in the sa%e #ine. The "a#+es are

se,arated !y a ta!.e* Dis,#ay the strin0 int i72$; 79@o+t66i66end#@

!* =in#+de 6iostrea%.h8"oid %ain) *>o+t66


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o+t66a66!66@o+t66


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o+t66a66int n+%@o+t66Enter n+%!er5@in88n+%@re%7n+%1:@o+t66CnThe re%ainder is5 F66re%@

d* =in#+de 6iostrea%.h8"oid %ain) *>int f#oat7$@o+t66)f#oat ' (*@

Q22. What are the different data ty,es s+,,orted !y &''? Gi"e the ran0e and siLe in!ytes for eah of the%.

Q2$. What are data ty,e %odifiers? ow do they affet the ran0e of "a#+es in !ase dataty,e?

Q2(. What is a token? ow %any ty,es of tokens are there in &''?Q2. Gi"e the differene !etween r+nti%e error and synta/ error?Q2. Identify errors in the fo##owin0

a* =in#+de 6iostrea%.h8


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"oid %ain) *>int n+%@o+t66Enter n+%!er5@in88n+%@re%7n+%1:@

o+t66CnThe re%ainder is5 F66re%@!* =in#+de 6iostrea%.h8

"oid %ain) *>int f#oat7$@o+t66)f#oat ' (*@

* =in#+de6iostrea%.h8 "oid %ain)* >

har h7/@o+t66h66end#@

ASSIGNMENT-2

Q1.Define an o,erator. What are the "ario+s ate0ories of o,erators?Q2. Differentiate !etween +nary; !inary and ternary o,erator.Q$. What is the i%,ortane of 0i"in0 o%%ents in a ,ro0ra%? ow do yo+ 0i"e sin0#e

and %+#ti#ine o%%ents?Q(. ow is HH o,erator different fro% HH o,erator?Q. Differentiate !etween

n+%71: and n+%771:Q. Dis+ss the f+ntion of onditiona# o,erator; siLeof o,erator and o%%a o,erator

with e/a%,#es?Q. &onstr+t #o0ia# e/,ressions to re,resent the fo##owin05

a* h is a #ower ase harater or h1 is an +,,er ase harater.!* "aria!#e a is odd.* "aria!#e sa#ary is in the ran0e 1:;::: to :;:::.d* "aria!#e a0e is 0reater than 1 !+t #ess than :.e* "aria!#e sa#ary is not eO+a# to :;::: or a0e is 0reater than eO+a# to :.f* Paria!#e n+% is di"isi!#e !y 1:.

Q4.What wo+#d !e the res+#t of the fo##owin0 if ans7 initia##y5a* o+t66 )ans7*@!* o+t66 )ans7*@* )''ans* 67 @d* )ans''* 67 @

Q9.What are ternary o,erators? Gi"e e/a%,#es.Q1:. Identify the error in the fo##owin0 ,ro0ra%. ow wi## yo+ orret it?

=in#+de 6iostrea%.h8"oid %ain) *

>int a7!77:@


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Q11. ow wi## yo+ deter%ine the siLe of f#oat data ty,e on yo+r %ahine?Q12. What wi## !e the o+t,+t of the fo##owin05

a* =in#+de 6iostrea%.h8"oid %ain) *

>f#oat n@n 7 ( ' )f#oat* )* )int* )2.9*@o+t66n@

!* =in#+de 6iostrea%.h8"oid %ain) *>f#oat n+%711:@)n+% 7 )n+%7 --n+%* * ? o+t66int y71:@o+t66y''@

e* =in#+de 6iostrea%.h8"oid %ain) *>int ,71:; k72:@k7k )'',*@o+t66


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Q1. Write a ,ro0ra% to ae,t the a0e of the +ser. If the a0e of the +ser is 87 14 thendis,#ay the %essa0e


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N2)0* ' $2)0* 2N$)0*

4. &a#+#ate the "o#+%e at S.T.B o+,ied !y

)i* $2 0 of nitro0en. ii* $. %o#es of S32

9. &a#+#ate the no. of ato%s of o/y0en ontained in 1 %o#e of s+0ar.

)at. %ass &712; 371; 71*

1:. ow %any 0ra%s of $%+st !e deo%,osed to ,re,are $.$K of o/y0en at

STB?

11. &a#+#ate the %o#arity of Na3 so#+tion ,re,ared !y disso#"in0 (0 of it in 2: %#

of water.

12. &a#+#ate the wei0ht of e3 for%ed in the !e#ow 0i"en eO+ationwhen 2g of VO

reats with . 0 of e23$ .A#so re,ort the #i%itin0 rea0ent. 2P3 ' $ e23$e3 ' P23 )at. Mass P71.(; 371; e7.9*

NIT-2

STV&TVE 3 AT3M

1. The ener0y assoiated with ,hoton of #i0ht is $.249 1:-19Y. &a#+#ate its

wa"e#en0th.

2. Write the o+ter e#etroni onfi0+ration of &r ato%. Why are ha#f fi#ed or!ita#s %ore

sta!#e?

$. Tw, ,arti#es A and U are in %otion. The %o%ent+% of ,arti#e U is ha#f of A. If the

wa"e#en0th assoiated with ,arti#e A is / 1:-4% ; a#+#ate the wa"e#en0th

assoiated with ,ari#e U.

(. ow does eisen!er0s +nertainity ,rini,#e s+,,ort the one,t of or!ita# ?

. What is %eant !y the state%ent e#etron has d+a# nat+re.

. &a#+#ate the %a0nit+de of ener0y assoiated with the ,hoton of #i0ht of wa"e#en0th::n%.

. What is the at. no. of the ato% whose o+ter%ost e#etrons are re,resented !y

)i* 2,$ )ii*$s1

A#so identify these e#e%ents.


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8. The wa"e#en0th of a %o"in0 !ody of %ass 1 %0 is $.$112 Z 1:29%. &a#+#ate itskineti ener0y.

9. The thresho#d freO+eny for a %eta# is / 1: 1( s. &a#+#ate the .E. of an e#etron

e%itted when a radiation of freO+eny 1: 1s hits the %eta#.

1:. If the ,rini,a# O+ant+% n+%!er )n* has a "a#+e of 2 what are the ,ossi!#e "a#+es of

# and % ?

NIT-1(ENPIV3NMENTAK &EMISTVX

1. Write a short note on &3 as a ,otentia# 0aseo+s ,o##+tant.2. What is 0reenho+se effet? What are the %aor 0ases res,onsi!#e for this effet?$. Dis+ss the ways to hek water ,o##+tion.(. E/,#ain in !rief how is oLone ho#e for%ed ;+sin0 a,,ro,riate eO+ations.. E/,#ain the ter%s U3D and &3D.

. ow does or0ani waste add to water ,o##+tion?. Write a short note on Green &he%istry.4. What effet of aid rain has !een seen on Ta Maha# ?9. Write the differene !etween ,hotohe%ia# and #assia# s%o0.1:. ow does deter0ent a+se water ,o##+tion?

Political Science

Vead the news,a,ers and %a0aLines and o##et interestin0 artoons with date. Ana#ysethe% and find o+t %ore a!o+t the iss+e whih they are hi0h#i0htin0 whih wo+#d !edis+ssed in the #ass. &o##et at#east 1 of the% .

Commercial Arts

1. Bre,are a sra, fi#e on the fats and fi0+res of Ind+s Pa##ey &i"i#iLation.

2. Bre,are two sti## #ife on any of the fo##owin05 a. r+it Uasket; !. &+, [ Sa+er; .Beni# ,en Stand; d. A ,air of shoes.

Physics

NIT 15 BXSI&AK W3VKD [ MEASVEMENT

1. What do yo+ +nderstand !y the ter% ,hysis?2. Define the fo##owin0 !ranhes of ,hysis5


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a* Mehanis!* 3,tis* Ther%odyna%isd* E#etro%a0netis%

$. &hek !y the %ethod of di%ensions whether the fo##owin0 eO+ations are orret5 a* E 7 h" " 7 freO+eny; h 7 ,#anks onstant !* " 7 \B] "7 "e#oity; B 7 ,ress+re; ] 7 density * h 7 2 ] ^ ^ 7 s+rfae tension; r 7 radi+s ; h 7 hei0ht r0os_ d* E 7 %0h '1%"2 E 7 ener0y 2( . In the eO+ation5 y 7 a sin )wt- k/*; t [ / stand for ti%e [ distane res,eti"e#y. 3!tainthe di%ensiona# for%+#a for w [ k.

. The distane o"ered !y a ,arti#e in ti%e t is 0i"en as " 7 a ' !t ' t

2

' dt

$

@ind the di%ensions of a;!;;d.. ind the di%ensions of in the fo##owin0 eO+ation

B ' 0h ' " 27 .] 2

. The ti%e ,eriod of osi##ation of a 0as !+!!#e fro% an e/,#osion +nder waterde,ends on ,ress+re )B*; density )d* [ ener0y )E*. ind di%ensiona##y are#ation for ti%e ,eriod.

)T 7 kd 12 E12*B

4. sin0 the %ethod of di%ensions; deri"e an e/,ression for the ener0y of a !odyE/e+tin0 SM@ ass+%in0 that the ener0y de,ends on its %ass %; freO+eny "[ a%,#it+de of "i!ration a. )E 7 k % "2a2*

9. A -t+!e of +nifor% ross setion ontains %er+ry +, to a hei0ht h in either #i%!. The%er+ry in one #i%! is de,ressed a #itt#e [ then re#eased. 3!tain an e/,ression for the ti%e,eriod of osi##ations ass+%in0 that T de,ends on h; ] [ 0. )T 7 k\ h ]*1:. An e#etri !+#! has a ,ower of ::W.E/,ress it in &GS +nits.11The #atent heat of ie is 4:a#0%. E/,ress it in Y0.) 1a# 7 (.2Y*12. When 1%; 1k0 [ 1%in+te are taken as the f+nda%enta# +nits@ the %a0nit+de of foreis 2( +nits. What wi## !e the "a#+e of this fore in &GS syste%?1$. The #en0th of a rod as %eas+red in an e/,eri%ent is 1.(4%; 1.(%; 1.(9%; 1.:% [1.(4%. ind the a"era0e #en0th; a!so#+te error in eah o!ser"ation [ ,erenta0e error.1(. A ,hysia# O+antity ` is re#ated to three o!ser"a!#e a; !; as ` 7 \a ! 22. Theerrors of %eas+re%ent in a; !; are 2; 1 [ $. What is the ,erenta0e error in `?

NIT 25 INEMATI&S M3TI3N IN A STVAIGT KINE1. A ar o"ers the first ha#f of the distane !etween two ,#aes at a s,eed of (:k%h [ theseond ha#f at :k%h. What is the a"era0e s,eed of the ar? )(4k%h*


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2. A train %o"es with a s,eed of $:k%h for :.(h; (:k%h for :.1h [(:k%h for :.$:h.&a#+#ate the a"era0e s,eed for the o+rney. )(4.$$k%h*$. The dis,#ae%ent of a ,arti#e "aries with ti%e as / 7 t$' (t2't'(%. ind the ,osition;"e#oity [ ae#eration of the ,arti#e at t 7 :. When wi## the "e#oity !eo%e Lero? &anwe a## the %otion of the ,arti#e as with +nifor% ae#eration?

(. A ar tra"e#in0 at 2%s is !ro+0ht to rest o"er a distane of %. &a#+#ate the retardation,rod+ed.. 3n t+rnin0 a orner a ar dri"er dri"in0 at $k%h s,ots a hi#d on the road % ahead.e i%%ediate#y a,,#ies !rakes so as to sto, within % of the hi#d. &a#+#ate theretardation ,rod+ed [ ti%e taken !y the ar to sto,. )1%s2; 1:s*. A !ody o"ers a distane of 2:% in the thseond [ 2(% in the 9 thseond. ow %+hsha## it o"er in 1thseond?. A !ody is dro,,ed fro% the to, of the tower [ reahes the 0ro+nd in $s. &a#+#ate thehei0ht of the tower. )((.1%*4. A stone thrown +,ward fro% the to, of a tower 4% hi0h reahes 0ro+nd in s. ind the0reatest hei0ht a!o"e0ro+nd; "e#oity with whih it reahes 0ro+nd [ the ti%e taken to

reah the %a/i%+% hei0ht )0 7 1:%s* )44.2%; (2%s; :.4s*9. A !a##oon is asendin0 at the rate of 1(%s at a hei0ht of 94% a!o"e the 0ro+nd when thefood ,aket is dro,,ed fro% the !a##oon. After how %+h ti%e [ with what "e#oity does itreah the 0ro+nd? ).12s; (.94%s*

1:. The "e#oity ti%e 0ra,h for a "ehi#e is shown. Draw ae#eration-ti%e 0ra,h fro% it.

11. The "-t 0ra,h for a ,arti#e is shown !y the +r"e 3AU&D. &a#+#ate the distaneo"ered !etween a* t 7 : to t 7 14s!* t 7 2 to t 7 12s11.The "-t 0ra,h for a ,arti#e is shown !y the +r"e 3AU&D. &a#+#ate the distaneo"ered !etween a* t 7 : to t 7 14s!* t 7 2 to t 7 12s* Ma/i%+% "a#+e of ae#eration.

2: A

" U & 1:

3 D 4 1: 1( 14 t


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12. A stone is dro,,ed free#y fro% the to, of a tower of hei0ht 4:%. At the sa%e ti%eanother stone is ,roeted "ertia##y +,ward fro% the foot of a tower with a "e#oity of(:%s. After what ti%e wo+#d they %eet.1$. Gi"e reasons5

a* &an a !ody ha"e onstant s,eed [ sti## ha"e "aryin0 "e#oity.

!* &an a !ody ha"e onstant "e#oity [ sti## ha"e "aryin0 s,eed.* &an a !ody ha"e Lero "e#oity [ sti## ,osses ae#erationd* &an the s,eed !e ne0ati"e

1(. Draw ,osition-ti%e; "e#oity-ti%e 0ra,h for a !ody %o"in0 with +nifor% "e#oity.1 Draw ,osition-ti%e; "e#oity-ti%e [ ae#eration-ti%e 0ra,h for a !ody %o"in0 with+nifor% ae#eration.

Mathematics

1. Do the assi0n%ents on fo##owin0 to,is fro% ASM in assi0n%ent re0ister.

a* &ha,ter 15 Sets.

!* &ha,ter 25 Ve#ations and +ntions.

* &ha,ter-$5 Tri0ono%etry

2. Bre,are a do+%entary +sin0 a,,ro,riate software. The do+%entary sho+#d !e ,refera!#y

arried at %ost in a 0ro+, of fo+r. The do+%entary sho+#d ai% at e/tension of #earnin0 to rea# #ife

sit+ations or hi0h#i0htin0 so%e %athe%atia# one,t. Uesides; it sho+#d a#so !e so%ewhat o,en-ended

and inno"ati"e. Do+%entary %+st not re,rod+e te/t!ook %ateria#. Ti%e #i%it sho+#d !e (

%ins.

A tea% an hoose any one of the fo##owin0 to,is5

1. A,,#iation of Vea# +ntions

2. A,,#iation of &oni setions

$. A,,#iation of Bro!a!i#ity

(. A,,#iation of Arhitet+re

. A,,#iation of Set theory


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. A,,#iation of So#id 0eo%etry

. A,,#iation of Tri0ono%etry

4. A,,#iation of sy%%etry and on0r+ene

&ABTEV N3. 1SETS

Q1. Ve,resent eah of the fo##owin0 in roster for%5)i* >/5/ is a #etter in the word BV3UAUIKITX)ii* >/5/ is a ,ri%e n+%!er whih is a di"isor of :)iii* >/5/ is a %onth of a year not ha"in0 $1 days

Q2. Ve,resent eah of the fo##owin0 in the set !+i#der for%5)i* > :;$;;9;12

)ii* > 12;2;$1:;(1;2;$;

)iii* > 1; 4; 2; (; 12

)i"* >1(; 21; 24; $; (2 bb. 94

Q$. Write the set of a## the ,ossi!#e s+!sets ),ower set* of the set whih ontains theEn0#ish a#,ha!ets whih ,reedes d.

Q(. Ket A 7 >1;$;;;9 ; U 7 >2;$;(;;; &7>;;4;9 and 7>1;2;$;(;;;;4;9;1:. Perifythat5

)i* )U &*c7Uc&c

)ii* A ( )CB 7)AU*&)iii* A )U&*7)A U* )A&*

Q. Ket 7 >/ N5 / 4; A 7 >/ N5 6 /26 : and U 7 >/ N5 / is ,ri%e n+%!er#ess than 1:. Draw a Penn Dia0ra% to show the re#ationshi, !etween the 0i"en sets.ene #ist the e#e%ents of the fo##owin0 sets

)i* A )ii* B )iii* A U )i"* A B )"* Is A U 7 A B ?


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Q. se the ,ro,erties of sets to ,ro"e that for sets A; U and &

Q. Bro"e eah of the fo##owin05

)i* )A-U* )U-A*7 )ii* )A-U*U7AU)iii* A-)U-&*7)A-U*)A-&*)i"* A )U &* 7 )A U* )A &*)"* If Ac U7 then A is a s+!set of U

Q4. A and U are two sets ha"in0 : and : e#e%ents res,eti"e#y and ha"in0 at#east 11:e#e%ents in A or U. ow %any e#e%ents are ,resent in A U. )2:*

Q9. In a #ass of 1(: st+dents; : ,#ay foot!a##;(4 ,#ay hokey and ,#ay riket; $: ,#ayhokey and riket; 14 ,#ay foot!a## and riket; (2 ,#ay foot!a## and hokey and 4 ,#ay a##the three 0a%es. se "enn dia0ra% to find

)i* St+dents who do not ,#ay any of these three 0a%es@)ii* St+dents who ,#ay on#y riket@)iii* St+dents who ,#ay foot!a## and hokey; !+t not riket. ) $9; $; $(*

Q1:. In a #ass of : !oys; there are ( !oys who ,#ay ards and $: !oys who ,#ayaro%.ind 5

)i* ow %any !oys ,#ay !oth the 0a%es?)ii* ow %any ,#ay ards on#y?)iii* ow %any ,#ay arro% on#y? )1;$:;1*

Q11. In a #ass 14 st+dents took Bhysis; 2$ st+dents took &he%istry and 2( st+dents tookMathe%atis. 3f these 1$ took !oth &he%istry and Mathe%atis; 12 took !oth Bhysis and&he%istry and 11 took !oth Bhysis and Mathe%atis. If st+dents offered a## the threes+!ets find )i* tota# n+%!er of st+dents in the #ass )ii* how %any took Mathe%atis !+tnot &he%istry )iii* how %any took e/at#y one of the three s+!ets.

)$; 11; 11*

Q12. In a #ass of 2 st+dents; 12 ha"e taken Mathe%atis; 4 ha"e taken Mathe%atis !+tnot Uio#o0y. ind the n+%!er of st+dents who ha"e taken Mathe%atis and Uio#o0y; andthose who ha"e taken Uio#o0y on#y.

Q1$. In a town of 1:;::: fa%i#ies; it was fo+nd that (: fa%i#ies !+y news,a,er A; 2:fa%i#ies !+y news,a,er U and 1: fa%i#ies !+y news,a,er &. fa%i#ies !+y A and U;$ !+y U and & and ( !+y A and &. If 2 fa%i#ies !+y a## the three ,a,ers; find then+%!er of fa%i#ies whih !+y )i* A on#y )ii* U on#y )iii* none of A; U or &.

Q1(. There are (: st+dents in a he%istry #ass and : in a ,hysis #ass.ind the n+%!erof st+dents whih are either in ,hysis or he%istry #ass if


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)a* the two #asses %eet at the sa%e ho+r )1::*)!* two #asses %eet at different ho+rs and 2: st+dents are enro##ed in !oth the s+!ets.)4:*Q.1 In #ass `I of a ertain shoo#; : st+dents eat !+r0er and (2 st+dents eat nood#es in#+nh ti%e. If 2( st+dents eat !oth !+r0er and nood#es; find the n+%!er of st+dents who eat

)i* !+r0er on#y )ii* nood#es on#y )iii* any of the two food ite%s? ) 2;14;4*E/,#ain the i%,ortane of n+tritio+s food o"er the +nk food.Q.1 In a 0ro+, of ,eo,#e; : ,eo,#e read news,a,er A; 2: read news,a,er U and 1: read!oth news,a,ers. ow %any ,eo,#e read at#east one of the two news,a,ers?Na%e few news,a,ers in India. E/,#ain the ro#e of %edia in de%oray. ):*

&ABTEV N3. 2VEKATI3NS AND N&TI3NS

Q1. If A7>1;2;( and U7 >1;2;$;re,resent the fo##owin0 sets 0ra,hia##y and !y arrow

dia0ra%

)i* A U )ii* U ` A )iii*A ` A )i"* U ` U

Q2. . ind the do%ain and ran0e of the re#ation V 0i"en !y )Do%ain7 > 1; 2; $*

Q$.ind the do%ain of the f+ntion f)/* 71

12+x

) V *

Q(. If A / U 7 >)a; 1*; )a; 2*; )a; $*; )!; 1*; )!; 2*; )!; $*.ind the sets A and U and hene find U / A. ) A 7 >a; ! U 7 >1; 2; $*

Q.A re#ation V is defined on the set g of inte0ers as)/;y* V iff /2'y272.E/,ress V and V-1as the set of ordered ,airs and find their do%ains

Q . If A 7 >a;;r; U 7>a;;d;e and & 7 >;d;s; "erify that

)AU* / & 7 )A / &*)U / &*.

Q. Ket A 7 >1; 2; $; (; and U 7 >1; 2; $; (; ;bbb... Ket V !e a re#ation fro% A toU defined !y aV! if and on#y if a is +!e root of !. ind V and its do%ain and ran0e. )V 7 >)1; 1*; )2; 4*; )$; 2*; )(; (*; Do%ain 7 >1; 2; $; (; Van0e 7 >1; 4; 2; (*

Q4. ind the ran0e of the fo##owin0 f+ntions5)i* f)/* 7 (sin / $ os / ) -; *)ii* . f)/* 7 1 -j/ - 2j )-; 1*

)iii* f)/* 722

$

x )-; :* )$2; *


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j / ( jJ)i"* f)/* 7 / ( )>-1; 1*

)"* f)/* 7 os/ ' sin/ ' \2 :; 2\2

)"i* f)/* 7 .1x ):; *

Q.9. ind the do%ain of eah of the fo##owin0 f+ntions 0i"en !y5

JJJJ1JJJJ )- ; :*

)i* f(x) = \)j/j - /*

JJJJ/JJJJ )-;1* )2; *)ii* f(x) = \)/2 $/ ' 2*

$ /J )V- >(*)iii* f)/* 7 2 / 4

)i"* f)/* 7x2

2)- ; 2*

)"* f)/* 72$2 ++ xx

x

Q1:. If a re#ation f is defined as f)/* 7 2/ ' $ then find the "a#+e off)f)$2**. )1*

Q11. Draw the 0ra,h of the fo##owin0 f+ntion 5

=2

1*)

x

x

xf$1;

11;

12;


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&ABTEV N3. $TVIG3N3METVI& N&TI3NS

Q1. A ir+#ar wire of radi+s $ % is +t and !ent so as to #ie a#on0 the ir+%ferene of a

hoo,whose radi+s is (4 %. ind the an0#e in de0rees whih is s+!tended at the entre of hoo,.)22.*

Q2.ind in de0rees and radians the an0#e !etween the ho+r hand and the %in+te hand of a#okat ha#f ,ast three.

Q$.The an0#es of a O+ardi#atera# are in A.B. and the 0reater is do+!#e the #east;e/,ress the#east an0#e in radians

Q(. ind the %ini%+% "a#+e of os

2

) l$'/* ' os

2

)2l $'/*Q. So#"e tan / 'tan 2/ ' tan $/ 7 tan /.tan2/ .tan$/

Q. sin::os4:7 )1- \2 sin$:* 2\2

Q. 24

os

4

-os

4

$os

4os 2222 =+++

Q4. ind the "a#+e of )(*

Q9. ind the ,rini,a# so#+tions of the fo##owin0 eO+ations5

)i* Sin / 7 -1 2)ii* &os / 7 -1)iii* Se / 7 -2 $

Q1:. ind the 0enera# so#+tions of the fo##owin0 eO+ations5)i* xxx os2setan =+)ii* (os2/ ' ( 1$2$ += os/)iii* se22/ 7 1 tan 2/

)i"* tan/ ' tan2/ ' tan$/ 7 tan/ tan2/ tan$/)"* 2 sin2/ ' sin22/ 7 2)"i* os2' $ sin27 ()"ii* ecxxx os2tanot =+

Q11.Bro"e that5 os2(os222 =++


17/21

Q12. If $ tan)- 1* 7 tan)' 1 *; :


18/21

)"* ( ) ( ) 22222

2sin

2os c

Cba

Cba =++

Q2$. If the sides of a trian0#e are ,ro,ortiona# to the osines of the o,,osite an0#es;,ro"e that thetrian0#e is eO+i#atera#.

Q2(. If os /7 -1$ ;6 / 6 $2 ; find the "a#+e of sin /2 ; os /2 and tan /2.

Q2. If 7 ;,ro"e that

tan)

Q2. If tan / 'tan )/' $*' tan )/ ' 2 $ * 7$ then ,ro"e that tan$/71

Q.2 A whee# of a %otor is rotatin0 at 12::r.,.%. If the radi+s of the whee# is $ %; What #ineardistane does a ,oint of its ri% trans"erse in $: seonds ?What ste,s sho+#d !e taken to diso+ra0e rek#ess dri"in0? ) 1.$2 %*

Q.24 An en0ine is tra"e##in0 a#on0 a ir+#ar rai#way trak of radi+s 1:: %etres with a s,eed of k%hr. ind the an0#e in de0rees t+rned !y the en0ine in 1: seonds.What ro#e does rai#ways ,#ay in Indias trans,ortation syste% es,eia##y for 0oods? ) 2:

MI`ED-UAG ASSIGNMENT 1

Q1. ind the do%ain and ran0e of the re#ation V 0i"en !y

Do%ain7 > 1; 2; $

Van0e 7 >;

Q2 . If A 7 >:; 1; 2; U 7>$ and & 7 >$; (; "erify that

)AU* / & 7 )A / &*)U / &*.

Q$. Ket f !e a f+ntion defined fro% V to V s+h that


19/21

+

=

2$

1

12

*)

x

x

xf:;

:;

:;

>

=

$

1$ + &ot / ' 1 7:

Q1$. If sin )y ' L /*; sin )L ' / y* and sin )/ ' y L* are in A.B. )with /; y; Ll2 *; then,ro"e that tan /; tan y and tan L are in AB.

Q1(In an e/a%ination O+estion n+%!er 1 was atte%,ted !y st+dents; O+estion n+%!er 2 !y (st+dents and O+estion n+%!er $ !y (: st+dents; 24 st+dents atte%,ted !oth O+estion n+%!ers 1and 2; 4 atte%,ted !oth O+estion n+%!er 2 and $@ 2 atte%,ted !oth O+estion n+%!ers 1 and $

and 2 st+dents atte%,ted a## the three O+estions. ind how %any atte%,tedi* O+estion n+%!er 1 !+t not O+estion 2 and $ii* e/at#y one O+estioniii* at %ost 2 O+estions.

Pa#+e !ased O+estions

(2:se2:os$*)

(1:os

$

1:sin

1*)

::

::

=

=

ecii

i


21/21

Q1.ro% : st+dents takin0 e/a%inations in Mathe%atis; Bhysis and &he%istry; eah ofthe st+dent has ,assed in at #east one of the s+!et; $ ,assed Mathe%atis; 2( Bhysis and($ &he%istry. At %ost 19 ,assed Mathe%atis and Bhysis; at %ost 29 Mathe%atis and&he%istry and at %ost 2: Bhysis and &he%istry. What is the #ar0est ,ossi!#e n+%!er thato+#d ha"e ,assed a## three e/a%ination?

)1(*What sho+#d do the st+dents do to %ini%iLe the stress d+rin0 e/%anitations?

Q2. In a 0ro+, of : st+dents; the n+%!er of st+dent st+dyin0; En0#ish; Sanskrit were fo+ndto !e as fo##ows5indi 7 1; En0#ish 7 1$; Sanskrit 7 1;indi and En0#ish 7 9; En0#ish and Sanskrit 7 (;indi and Sanskrit 7 ; En0#ish; and Sanskrit 7 $. ind the n+%!er of st+dents who st+dy

)1* indi on#y )ii* En0#ish on#y )iii* Sanskrit on#y )i"* En0#ish andSanskrit !+t indi not )"* at #east one of three #an0+a0es )"i* none of the three#an0+a0es

What is the i%,ortane of #earnin0 the %other to+n0e?

Q$. In a town of 1:;::: fa%i#ies; it was fo+nd that (: fa%i#ies !+y news,a,er A; 2:fa%i#ies !+y news,a,er U and 1: fa%i#ies !+y news,a,er &. fa%i#ies !+y A and U;$ !+y U and & and ( !+y A and &. If 2 fa%i#ies !+y a## the three ,a,ers; find then+%!er of fa%i#ies whih !+y )i* A on#y )ii* U on#y )iii* none of A; U or &.Why sho+#d we eno+ra0e e"ery!ody to read the news,a,er?

Q(. 3f the %e%!ers of three ath#eti tea%s in a ertain shoo#; 21 are in the !asket!a##tea%; 2 are in the hokey tea% and 29 in the foot!a## tea%; 1( ,#ay hokey and !asket!a##;1 ,#ay hokey and foot!a##; and 12 ,#ay foot!a## and !asket!a##; 4 are in a## the threetea%s. ind the n+%!er of %e%!ers who ,#ay at#east one of the three s,orts?

Gi"e the i%,ortane of s,orts in todays #ifesty#e?

Q.In a f+ntion ;1:: offiers were awarded %eda#s for effiieny ;: for honesty ;( forhardwork;$: for effiieny as we## as honesty;24 for effiieny as we## as hardwork;2$ forhonesty and hardwork and 14 for a## three O+a#ities.If there are 2:: offiers ;how %any%issed the %eda#s?State fi"e O+a#ities desired in a 0ood offier.

Q.In a s+r"ey it is fo+nd that 1: ,eo,#e take ,an %asa#a;1$: take 0+tka and 1( takeo,i+%. If : ,eo,#e take ,an %asa#a as we## as 0+tka ; take 0+tka as we## as o,i+% and(: take a## the three;find hoe %any ,eo,#e are s+r"eyed ?ow %any take o,i+% on#y?

A## the three are dan0ero+s for hea#th .What sho+#d !e done to 0et rid of s+h har%f+#,rod+ts?

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