A practice paper for best prepration in bihar board

A practice paper for best prepration in bihar board

                                                   

Time: 3 Hours M. M. : 100

lgh mÙkj pqus%& 10X1=10

1- fuEu esa dkSu ifjes; la[;k gS \

(a)√3                                            (b)2√2 /√2

(c) 4+√5                                        (d)√6

2- fdlh /kukRed iw.kkZd ds fy, (a ,b) dk e0l0 x(a,b) dk y0l0 fuEu esa fdlds cjkcj gksrk gS \

(a) a/b                                             (b) b/a

(c) axb                                              (d) a+b

3- /kkr ,d okyk cgqin dgykrk gS \

(a) f}?kkr                                 (b) f=?kkr

(c) jSf[kd                                (d) dksbZ ugha

4- f=?kkr cgqin dk lcls O;kid :i gS \

(a) ax2+bx+c                  (b) ax4+bx3+c       (c) ax3+bx2+cx+d

5- ;fn sin A=3/4, rks cosA dk eku gksxk \

(a)4/3                                                    (b)√3/4

(c)√4/3                                                  (d)√7/4

6- Tan A cjkcj gksxk \

(a) Cot(900-A) (b)Sec(900-A) (c) Cosec(900-A) (d) Cos(900-A)

7- fdlh fcUnq dh x v{k ls nwjh ml fcUnq dk dgykrh gS \

(a)Hkqt (b)dksfV                                                             (c)v{k                                        (d)vkys[k

8- r f=T;k okys o`r dk lw= gS \

(a)2πr             (b)4πr2                         (c)Πr2            (d)4πr

9- lap;h ckjEckjrk oØ dgykrh gS \

(a) rksj.k (bvk;rfp=

(c) naMkys[k (d)ckjackjrk cgqHkqt

10- ;wfDyM foHkktu ,Yxksfjne nks /kukRed iw.kkZadks ds fuEu esa fdls ifjdfyr djus ds rduhd gS \

(a) Yk0l0 (b)Ek0l0 (c) ;ksxQy (d)’ksáfuEu iz’uksa dk mÙkj nsa%& 10X1=10

1- ,d jSf[kd ;qXe ftldk dksbZ gy ugha gksrk] D;k dgykrk gS \

12- Tan 450 dk eku Kkr djsa.

13. Cosec2A-1 dk eku Kkr dhft,.

14- Tan 260/ Cot 640 dk eku crk;sa.

15- lw= m₁x₂+m₂x₁/m₁+m₂, m₁y₂+ m₂y₁/m₁+m₂ D;k dgykrk gS\

16- fcUnq p(x₁,y₁) vkSj q(x₂,y₂) ds chp dh nwjh Kkr djsa.

17- nks f=Hkqt esa laxr dks.k cjkcj gS rFkk laxr Hkqtk,W ,d gh vuqikr esa gS rks bu nks f=Hkqtks dks D;k dgk tkrk gS \

18- **,d ledks.k f=Hkqt esa d.kZ dk oxZ àæðá nks Hkqtkvksa ds oxkZs ds ;ksx ds cjkcj gksrk gS^^ bl izes; dks fdlus izfrikfnr fd;k \

19- 3-5 lseh0 f=T;k okys v)Zxksys dk odzi`áB {ks=Qy Kkr fdth, \

20- fdlh iz;ksx dh lHkh izkjafHkd ?kVukvksa dh izkf;drkvksa dk ;ksx fdruh gS\

21- vHkkT; xq.ku[kaM fof/k }kjk  vkSj 404 dk e0l0 Kkr djsa rFkk mlls y0l0 Kkr djsa. 2

22- fcuk yach foHkktu izfdz;k fd, crkb, fd 7@80 ifjes; la[;k ds n’keyo izlkj lkar gS ;k vlkar.

23- ;fn 15Cot A=8 ] rks SinA vkSj Sec A dk eku Kkr fdth,. 2

24- 2 Tan²45⁰ + Cos²30⁰ –Sin²60⁰ dk eku Kkr fdth,. 2

25- Lkekarj Js.kh 3@2] 1@2] &1@2] &3@2-----------------ds fy, izFke in. vkSj lkoZvarj fyf[k,.   

26- Lkekarj Js.kh 8]3]&2----------- esa izFke 22 inkssa dk ;ksx Kkr fdth,. 2

27- fcUnq ;qXe (2,3) rFkk (4,1) ds chp dh nwjh Kkr djsa. 2

28- ml f=Hkqt dk {ks=Qy Kkr fdth, ftlds àæèáæðü (1,-1) (-4,6) vkSj (-3,-5) gSa. 2

29- ,d o`r ds prqFkkZ’k dk {ks=Qy Kkr fdth, ftldh ifjf/k 22 lseh0 gS. 2

30- nks f=Hkqt le:iksa gksus dk izfrca/k crk,W. 2

31- tc ,d flDds dks ,d ckj mNkyk tkrk gS] rks fpr izkIr djus izk­f;drk crk,W. 2

32- fl) djsa fd √2 ,d vifjess; la[;k gS. 3

33- xq.ku[kaMu }kjk lehdj.k 2x² -5x+3=0 ds ewy Kkr djsa. 3

34- ;fn Tan=4/3 rks dks.k A ds vU; f=dks.kferh; vuqikr Kkr djsa. 3

35- ;fn Sin3A=Cos(A-260) gkss tgkW 3A ,d U;qudks.k gS rks A dk eku Kkr fdth,. 336- K dk eku Kkr fdth,] ;fn fcUnqvks A(2,3), B(4,K) vkSj C(6,-3) lajs[kh gS. 337- ,d f=Hkqt ABC dh Hkqtk BC ij ,d fcUnq D bl izdkj fLFkr gS] fd ADC= BAC, rks fn[kkb, dh CA2=CB.CD gS. 3

38- ABC ,d lef}ckgq ledks.k f=Hkqt gS. ftldk dks.k C ledks.k gS. fl) dhft, dh AB2=2AC2 gS. 3

39- 56 ehVj Hkqtk okys ,d oxkZdkj ykWu ds nks vksj cuh gq, nks o`rkdkj Qqyks dh D;kfj;kW gS. ;fn izR;sd o`rkdkj Qqyks dh D;kjh dk dsUnz oxkZdkj ykWu ds fod.kZ dk izfrPNsn fcUnq gS rks oxkZdkj ykWu rFkk Qyksa dh D;kfj;ks ds {ks=Qy dk ;ksx Kkr dhft,. 3

 40- ,d ‘àæaDokdkj yV~Vq ds mij ,d v)Zxksyk v/;kjksfir gS. yV~Vq dh iwjh mpkbZ 5 lseh0 vkSj bu dk ;kl 3-5 lseh0 gS] rks yV~Vq dk odz i`cB {ks=Qy Kkr dhft,. 3

41fdlhOxsanckt }kjk fdzdsV eSpksa fy, x;s fodVks dh la[;k 2] 6] 4] 5] 0] 2] 1] 3] 2] 3 gS.  cgqyd Kkr djs. 3

42- nks f[kykM+h laxhrk vkSj js’kek Vsful dk ,d eSp [ksyrs gS ;g Kkr gS] fd laxhrk }kjk eSp thrus dh izkf;drk 0-69 gS. js’kek dh thrus dh izkf;drk D;k gS. 3

43- tkWp dhft, fd lehdj.k ;qXe X+3Y=6 rFkk 2X-3Y=12 laxr gSA ;fn gS] rks xzkQ }kjk gy djsa. ^^vFkok** jhckHk /kkjk ds vuwdwy 2 ?kaVs esa 20 fdeh0 uko pyk ldrk gS vkSj /kkjk ds izfrdwy 2 ?kaVs esa 4 fdeh0 uko pyk ldrk gS. mldk fLFkj ty esa uko pykus dh pky rFkk /kkjk dh pky Kkr djsa. 5

44- f}?kkr lw= ls f}?kkr lehdj.k 2x²+x-528=0 dks gy djsa. ^^vFkok** nks oxksZ dk {ks=Qyksa dk ;ksx 468 oxZehVj ;fn mudks ifjekiksa dk varj 24 ehVj gks] rks nksuks oxksZ dh Hkqtk,W Kkr dhft,. 5

45- ,d cgqeaftyk Hkou ds f’k[kj ls ns[kus ij ,d 8 ehVj mps Hkou ds f’k[kj vkSj ry ds voueu dks.k 30⁰ vkSj 45⁰ gS. cgqeaftys dh mpkbZ vkSj nksuks Hkouks ds chp dh nwjh Kkr djsa.

^                              ^vFkok**

 ehukj d vk/kkj ls ,d ljy js[kk esa 4 ehVj vkSj 9 ehVj dh nwjh ij fLFkr nks fcUnqvksa ls ehukj ds f’k[kj ds mUu;u dks.k iwjd gS. fl) djsa dh ehukj dh mpkbZ 6 ehVj gS

.46- fl) djsa fd ;fn ,d js[kk fdlh f=Hkqt dh nks Hkqtkvks dks ,d gh vuqikr esa foHkkthr djsa] rks og rhljh Hkqtk ds lekarj gksrh gS.

                      ^^vFkok**

 fl) djsa fd ;fn fdlh f=Hkqt dh nks Hkqtkvksa ds oxksZ ds ;ksx ds cjkcj gks] rks igyh Hkqtk dk lEeq[k dks.k ledks.k gksrk gS.

 47- 4 lseh0] 5 lseh0 vkSj 6 lseh0 Hkqtk okys ,d f=Hkqt dh jpuk dhft, vkSj fQj mlds le:i ,d vU; f=Hkqt dh jpuk dhft,] ftldh Hkqtk,W fn, gq, f=Hkqt dh laxr Hkqtkvks dh 2@3 xquh gks.^

^vFkok** 5 lseh0 f=T;k ds o`r ij ,slh nks Li’kZ js[kkvksa [khph, tks ijLij 60⁰ ds dks.k ij >qdh gks.