SCIENCE · 2020. 9. 12. · CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000...

CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 BIHAR BOARD-SCIENCE Page # 1

SCIENCE Time: 2:45 Hours Marks : 80

Instructions : 1. All questions are compulsory.

2. Candidates are required to give their answer in their own words as far as practicable.

3. Figures in the right hand margin indicate full marks.

4. While answering the candidate should adhere to the word limit as far as practicable.

5. 15 minutes of extra time have been allotted for candidates to read the questions.

6. Answer in one word or in one sentence the questions of 1 mark.

7. Answer in about 50 words the question of 2 marks, answer in 75 words the questions of 3 marks, answer in about 150 words the question of 5 marks.

8. There are total 60 marks for group 'A' and 20 marks for multiple choice questions in group 'B'.

9. Question No. 31 is objective type. Which has four alternate options out of which only one option is the correct option. Select the correct option. There are total 20 questions and questions carry 1 mark.

funsZ'k : 1. lHkh iz'u vfuok;Z gSA

2. ijhkkFkhZ ;FkklaHko vius 'kCnksa esa gh mÙkj nsaA

3. nkghus vksj gkf'k;s ij fn;s gq, vad iw.kkZad fufnZ"V djrs gSaA

4. mÙkj nsrs le; ijhkkFkhZ ;FkklaHko 'kCn lhek ij /;ku j[ksaA

5. bl iz'u&i=k dks i<+us ds fy, 15 feuV dk vfrfjDr le; fn;k x;k gSA

6. 1 vad okys iz'uksa ds mÙkj ,d 'kCn ;k ,d okD; esa nsA

7. 2 vad okys iz'uksa ds mÙkj yxHkx 50 'kCnksa esa 3 vad okys iz'uksa ds mÙkj yxHkx 75 'kCnksa esa ,oe~ 5 vad okys iz'uksa ds mÙkj yxHkx 150 'kCnksa esa nsaA

8. xzqi 'A' esa dqy 60 vad ,oe~ xzqi 'B' esa 20 vad esa cgqoSdfYid iz'u fn, x, gSaA

9. iz'u la[;k 31 oLrqfu"B iz'u gSa blesa pkj oSdfYid mÙkjksa esa ls ,d fodyi lgh gSa lgh fodYi dk p;u djsaA blesa dqy 20 iz'u gS lHkh iz'uksa dk eku 1 vad gSA


SECTION-A (60 Mar ks) Q.1 What is the S.I. unit of electric power ? [1] Q.2 What is least distance of distinct vision ? [1] Q.3 What is the main component of Bio-gas ? [1]

Q.4 State a main plan or method of forest conservation. [1]

Q.5 Which hormone is responsible for sugar digestion in man. [1]

Q.6 What are the number of cromosomes in cell of man ? [1]

Q.7 Respiration is what kind of chemical reaction ?

[1]

Q.8 In Ohm's law, what remains constant ? [1] Q.9 What forms, when iron combined with oxygen ?

[1] Q.10 In green plants, Photosynthesis is not possible in

the absent of which component ? [1]

Q.11 The space present between two nerves are

called ? [1]

Q.12 Which metal may cut with knife ? [1]

Q.13 Diamond is allotrope of which element ? [1]

[k.M-A (60 vad) Q.1 fo|qr 'kfDr dk S.I. ek=kd D;k gS ? [1]

Q.2 Li"V nf"V dh U;wure nwjh D;k gS \ [1]

Q.3 ck;ks&xSl dk eq[; ?kVd D;k gS \ [1]

Q.4 ou lajk.k dk ,d izeq[k mik; crkb,A [1]

Q.5 euq"; eas phuh ds ikpu esa dkSulk gkeksZu lgk;d gSA

[1]

Q.6 euq"; dh dksf'kdk esa xq.klw=kksa dh la[;k D;k gS \

[1] Q.7 'olu dSlh jklk;fud vfHkfØ;k gS \ [1] Q.8 vkse ds fu;e esa fdldk eku vpj gS \ [1] Q.9 yksgk] vkWDlhtu ls la;ksx dj D;k cukrk gS \ [1]

Q.10 gjs ikS/kksa esa fdl ?kVd ds vHkko esa izdk'k&la'ys"k.k

laHko ugha gS \ [1]

Q.11 nks raf=kdkvksa ds e/; [kkyh LFkku dks D;k dgrs gSa\

[1]

Q.12 og dkSu&lh /kkrq gS ftls pkdw ls dkVk tk ldrk gSA [1]

Q.13 ghjk fdl rRo dk vij:i gSA [1]


Q.14 Write the name of an element of first group of periodic table. [1]

Q.15 Balance the following equation.

KClO3 (s) )g(O)s(Kcl 2MnO2

+→∆ [1]

Q.16 Draw lebelled diagram of electric bulb. [2]

Q.17 Compare fossil fuel & sun as energy source &

differentiate both. [2]

Q.18 The magnification by a plane mirror are +1.

What it means. [2]

Q.19 What is displacement reaction ? Explain with example. [2]

Q.20 What are the different ways to get energy in different organism to oxidize glucose ? [2]

Q.21 What is bio magnification ? On various stage of

ecosystem effect of biotic magnification is also different. Why ? [2]

Q.22 Define electric current, potential difference and resistance with S.I. unit and establish with interpretation of associated law. [3]

Q.14 vkorZ lkj.kh ds izFke oxZ ds ,d rRo dk uke fy[ksaA

[1]

Q.15 fuEufyf[kr lehdj.k dks larqfyr djsaA

KClO3 (s) )g(O)s(Kcl 2MnO2

+→∆ [1]

Q.16 fo|qr cYc dk ukekafdr fp=k cukb,A [2]

Q.17 ÅtkZ L=kksr ds :i esa thok'e bZa/ku rFkk lw;Z dh

rqyuk dhft, vkSj vUrj fyf[k,A [2]

Q.18 ,d lery niZ.k kjk vko/kZu +1 gSA bldk D;k vFkZ

gSA [2]

Q.19 izfrLFkkiu vfHkfØ;k D;k gS \ mnkgj.k nsdj

le>kb,A [2]

Q.20 Xywdkst ds vkWDlhdj.k ds fofHkUu thoks aesa ÅtkZ izkIr

djus ds fofHkUu ekxZ D;k gSa \ [2]

Q.21 tSfod vko/kZu D;k gS \ D;k ikfjra=k ds fofHkUu Lrjksa

ij tSfod vko/kZu dk izHkko Hkh fHkUu gksrk gS \ D;ksa \

[2]

Q.22 S.I. ek=kd ds lkFk fo|qr /kkjk] foHkokUrj vkSj izfrjks/k

dks ifjHkkf"kr djsa vkSj buesa laca/k fu;e dh O;k[;k


Q.23 (i) During extreme exercise body of a player

getting cramp. Why ? (ii) When adrenalin hormone mixed in blood

what response in body occur ? [3] Or

Interpretation of double blood circulation in humen being and explain its importance.

Q.24 In what way the movement of leaves of mimosa

is different to its shoot towards the light ?. [3]

Q.25 If a character A is found in 10% members of a asexual reproductive population and character B is found in 90% organisms of the same population, then which character produce first, and why ? [3]

Q.26 What is metallurgy ? Write its various steps ? [3]

Q.27 What is bleaching powder ? Write its chemical name, formula and uses. [3]

Q.28 What do you mean by colour dispersion ?

Explain rainbow. [5] Q.29 What is sightedness ? How many types of this

and how it is corrected ? [5]

Q.30 What is ethanol ? Write its general formula to give an example. How alcohol is prepared in laboratory ? [5]

ds lkFk LFkkfir djsaA [3]

Q.23 (i) vR;f/kd O;k;ke ds nkSjku f[kykM+h ds 'kjhj esa

ØSEi gksus yxrk gSA D;ksa \

(ii) tc ,fMªuyhu gkeksZu :f/kj esa fey tkrk gS] rks

'kjhj esa D;k vuqfØ;k gksrh gSA [3]

Or euq"; esa nksgjs jDr lapj.k dh O;k[;k dhft, rFkk

blds egÙo ij izdk'k Mkfy,A

Q.24 NqbZ&eqbZ dh ifÙk;ksa dh xfr] izdk'k dh vksj izjksg dh

xfr ls fdl izdkj fHkUu gSA [3]

Q.25 ;fn ,d yk.k A vySafxd iztuu okyh lef"V ds 10% lnL;ksa esa ik;k tkrk gS rFkk B mlh lef"V esa 90% thoksa esa ik;k tkrk gS rks dkSu lk yk.k igys mRiUu gksxk] vkSj D;ksa \ [3]

Q.26 /kkrq deZ D;k gS \ blds fofHkUu pj.kksa dks fy[ksaA

[3]

Q.27 fojatd pw.kZ D;k gS \ bldk jklk;fud uke] lw=k ,oa

mi;ksx fy[ksaA [3]

Q.28 izdk'k dk o.kZ foksi.k ls vki D;k le>rs gSa \

bUnz/kuq"k dh O;k[;k djsaA [5]

Q.29 nf"V nks"k D;k gS \ ;g fdrus izdkj ds gksrs gSa rFkk

bldk fuokj.k dSls fd;k tkrk gSA [5]

Q.30 ,FksukWy D;k gS \ bldk lkekU; lw=k fyf[k,A

mnkgj.k nsA iz;ksx'kkyk esa vYdksgy dSls rS;kj fd;k

tkrk gS\ [5]


[k.M-B (20 vad)

cgqoSdfYid iz'u

Time: 30 Minutes Full Marks : 20 × 1 = 20

fuEufyf[kr fodYiksa esa lgh fodYi pqusa: Q.1 bUnz/kuq"k dk cuuk fdl ifj?kVuk ij vk/kkfjr gS \ (a) izdk'k dk ijkorZu (b) izdk'k dk viorZu (c) izdk'k dk o.kZ fokis.k (d) buesa ls dksbZ ugha Q.2 fdlh niZ.k ls oLrq dks dgha Hkh j[kus ls oLrq ds

cjkcj vkdkj dk lh/kk izfrfcEc curk gS rks niZ.k gksxk

(a) mÙky (b) vory (c) lery (d) lery rFkk mÙky

Q.3 fdlh mÙky ySal dk Qksdl nwjh 50 lseh gS rks mldh kerk gksxh

(a) +5D (b) –5D (c) –2D (d) +2D

Q.4 1, 2 vkSj 3 vkse ds 3 izfrjks/kksa dks Js.khØe esa tksM+us ij lerqY; izfrjks/k gksxk

(a) 1 vkse (b) 2 vkse (c) 3 vkse (d) 6 vkse

Q.5 vkse ds fu;e dks ifjHkkf"kr djus esa fdldk eku vpj jgrk gS \

(a) foHkokUrj (b) /kkjk (c) rki (d) nkc

Q.6 fdlh pkyd ls 2 feuV rd 1 ,fEi;j dh /kkjk izokfgr gksus ij vkos'k dk eku gksxk

(a) 100 dwykWe (b) 120 dwykWe

Group-B (20 M ar ks) Multiple Choice questions.

Time: 30 Minutes Full Marks : 20 × 1 = 20

Mark correct option from following options.

Q.1 Forming rainbow based on which phenomena ? (a) Reflection of light (b) Refraction of light (c) Dispersion of light (d) None of these

Q.2 An object placed anywhere from a mirror, formed image erect and equal size of object, then mirror would be -

(a) Convex (b) Concave (c) Plane (d) Plane and convex Q.3 The focus length of a convex lens is 50 cm, then

its power would be - (a) +5D (b) –5D (c) –2D (d) +2D

Q.4 1, 2 and 3 Ω are connected in series, then three resistance of equivalent resistance will be -

(a) 1 Ω (b) 2 Ω (c) 3 Ω (d) 6 Ω Q.5 To define ohms law, which value is constant ?

(a) Potential difference (b) Current

(c) temperature (d) pressure

Q.6 for 2 minute, 1 amp current flowing through an conductor, then value of charge will be -

(a) 100 Coulomb (b) 120 Coulomb (c) 140 Coulomb (d) 160 Coulomb


Q.7 Digestion of food is what type of reaction in our

body -

(a) Anabolic (b) combination (c) Displacement (d) Reduction

Q.8 Base which soluble in water are called ? (a) Acid (b) Base (c) Salt (d) None of these Q.9 Which metal easily cut with knife -

(a) Iron (b) copper

(c) Calsium (d) sodium

Q.10 Valency of carbon in organic compound - (a) 2 (b) 4 (c) 6 (d) 8 Q.11 Sodium salt of high fatty acid are called - (a) Detergent (b) Soap (c) Plastic (d) Rubber Q.12 Which of the following is acid - (a) CaO (b) KOH (c) NaCl (d) HCl

Q.13 Photosynthetic organelli is - (a) Leaf (b) Chloroplast (c) Chlorophil (d) Chromoplast Q.14 Vaporisation is a process - (a) Anatomical (b) Physical (c) Chemical (d) Natural Q.15 Structural and functional unit of kidney is

called - (a) Nephron (b) Ureter (c) Glomerulus (d) Bowman Capsule

(c) 140 dwykWe (d) 160 dwykWe

Q.7 'kjhj esa Hkkstu dk ipuk fdl izdkj dh vfHkfØ;k gS \

(a) mip;u (b) la;kstu (c) foLFkkiu (d) vip;u Q.8 ty esa ?kqyu'khy kkjd dgykrs gSa \ (a) vEy (b) kkj (c) yo.k (d) buesa ls dksbZ ugha

Q.9 fdl /kkrq dks pkdw ls ljyrk ls dkVk tk ldrk gS &

(a) yksgk (b) rk¡ck (c) dSfYl;e (d) lksfM;e

Q.10 dkcZfud ;kSfxd esa dkcZu dh la;kstdrk gksrh gS & (a) 2 (b) 4 (c) 6 (d) 8

Q.11 mPp olh; vEyksaa ds lksfM;e yo.k dgykrs gS & (a) viektZd (b) lkcqu (c) IykfLVd (d) jcj Q.12 fuEufyf[kr esa dkSu vEy gS & (a) CaO (b) KOH (c) NaCl (d) HCl Q.13 izdk'k la'ys"kh vaxd gS \ (a) iÙkh (b) gfjr yod (c) DyksjksfQy (d) o.khZ yod

Q.14 ok"iksRltZu dSlh izfØ;k gS & (a) 'kkjhfjd (b) HkkSfrd (c) jklk;fud (d) izkdfrd

Q.15 oDd ds lajpukRed ,oa fØ;kRed bdkbZ dks dgrs gS &

(a) usÝkWu (b) ew=kokfguh


Q.16 What find of disease is produce due to deficiency

of insuline - (a) Dibeties (b) Obesity (c) Dwarfness (d) Goiter

Q.17 Which animal is not bisexual ? (a) Earthworm (b) worm (c) Hydra (d) Fish Q.18 Uro II is related to - (a) Air pollution (b) Water pollution (c) Soil pollution (d) None of these Q.19 Which of the following is a electro positive

element - (a) C (b) S (c) P (d) K

Q.20 Larger Dams provides ? (a) Drought (b) forest development (c) Shorting of food (d) Arrangement of irrigation

(c) Xykses:yl (d) cksesu laiqV

Q.16 bUlqfyu uked gkeksZu dh deh ls dkSu-lk jksx mRiUu gksrk gS &

(a) e/kqesg (b) eksVkik (c) ckSukiu (d) ?ksa?kk

Q.17 mHk;fyaxh tUrq dkSu ugha gS \ (a) dsapqvk (b) dfe (c) gkbMªk (d) eNyh

Q.18 ;wjks II dk laca/k gS (a) ok;q iznw"k.k ls (b) ty iznw"k.k ls (c) enk iznw"k.k ls (d) buesa ls dksbZ ugha

Q.19 fuEufyf[kr esa dkSu fo|qr /kukRed rRo gS & (a) C (b) S (c) P (d) K Q.20 cM+s&cM+s cka/kksa ls gksrk gS \ (a) lw[kk (b) ouksa dk fodkl (c) Hkq[kejh (d) flapkbZ dh O;oLFkk

CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000 BIHAR BOARD-MATHEMATICS Page # 1

MATHEMATICS Time: 3:15 Hours Marks : 100

Instructions : 1. Candidates are required to give their answers in their

own words as far as practicable. 2. Question number 1 to 10 are objective type questions

which have four alternative in which only onealternative is correct. Each questions carry 1 mark and question number 11 to 20 are very short answer type questions each carry 1 marks.

3. Question number 21 to 31 are short answer type questions each carry 2 marks.

4. Question number 32 to 42 are short answer type questions each carry 3 marks.

5. Question number 43 to 47 are long answer type questions each carry 5 marks.

6. All questions are compulsory.

Q.1 If r is the radius of semi-circle, then perimeter of semi-circle is given by ?

(a) 2πr (b) 2r + πr (c) πr (d) 2πr + 2r Q.2 If M0 = Mode, M = Median and A = Arithmetic

mean, then correct relation among these three is given by.

(a) M0 = 3M + 2A (b) 3M = M0 – 2A (c) M0 = 3M – 2A (d) M0 × 3M = 2A Q.3 The value of 1 + tan2 θ is equal to. (a) cosec2 θ (b) sec2 θ (c) sin2 θ (d) cot2 θ

Q.1 ;fn r fdlh v)ZoÙk dh f=kT;k gks rks v)ZoÙk dh

ifjeki fuEufyf[kr esa ls dkSulk gS ? (a) 2πr (b) 2r + πr (c) πr (d) 2πr + 2r Q.2 fuEukafdr M0 = cgqyd] M = ekf/;dk vkSj

A = lekukUrj ek/; gks rks rhuksa esa lgh laca/k dkSulk

gS - (a) M0 = 3M + 2A (b) 3M = M0 – 2A (c) M0 = 3M – 2A (d) M0 × 3M = 2A Q.3 1 + tan2 θ dk eku fdlds cjkcj gS ? (a) cosec2 θ (b) sec2 θ (c) sin2 θ (d) cot2 θ

funsZ'k : 1. ijhkkFkhZ ;FkklaHko vius 'kCnksa esa gh mÙkj nsaA 2. iz'u la[;k 1 ls 10 rd oLrqfu"B iz'u gSA ftuesa pkj

fodYi gSaA ,d lgh fodYi mÙkj gSA izR;sd iz'u dk eku 1 vad gSA iz'u la[;k 11 ls 20 rd vfry?kq mÙkjh; iz'u gSa ftldk eku 1 vad dk gSA

3. iz'u la[;k 21 ls ysdj 31 y?kq mÙkjh; iz'u ftldk eku 2 vad dk gSA

4. iz'u la[;k 32 ls 42 rd y?kq mÙkjh; iz'u gSa ftldk eku 3 vad dk gSA

5. iz'u la[;k 43 ls 47 rd nh?kZ mÙkjh; iz'u gaS ftldk eku 5 vad dk gSA

6. lHkh iz'u vfuok;Z gSA


Q.4 The sum of n terms of an arithmetic progression whose first term is a, common difference is d, and last term is l is given by.

(a) 2n (a + l)

(b) 2n (a – l)

(c) 2n (2a + l) d

(d) 2n [2a + (n + l) d]

Q.5 The sum of two opposite angles of a cyclic quadrilateral is given by ?

(a) 60º (b) 90º (c) 120º (d) 180º

Q.6 One solution of 9x2 – 3x – 2 = 0 is.

(a) 32 (b)

31

(c) 32− (d) none of these

Q.7 The sum of roots of the quadratic equation

x2 – 5x + 6 = 0 is given by ? (a) 5 (b) – 5 (c) 6 (d) – 6

Q.8 If ax + by + c = 0 where a, b, c are real numbers then in terms of x and y it is called

(a) a linear equation (b) quadratic equation (c) cubic equation (d) it is called a polynomial in x and y

Q.4 fdlh lekarj Js<+h ds n inksa dk ;ksx D;k gksxk tcfd

izFke in a, lkoZ vUrj d vkSj vfUre in l gSA

(a) 2n (a + l)

(b) 2n (a – l)

(c) 2n (2a + l) d

(d) 2n [2a + (n + l) d]

Q.5 pØh; prqHkqZt ds lEeq[k dks.kksa dk tksM+ fuEufyf[kr

esa dkSulk gksxk ? (a) 60º (b) 90º (c) 120º (d) 180º

Q.6 9x2 – 3x – 2 = 0 dk ,d gy gksxk ?

(a) 32 (b)

31

(c) 32− (d) buesa ls dksbZ ugha

Q.7 f?kkr lehdj.k x2 – 5x + 6 = 0 ds ewyksa dk ;ksxQy

gS ? (a) 5 (b) – 5 (c) 6 (d) – 6

Q.8 ;fn ax + by + c = 0 tgk¡ a, b, c okLrfod la[;k,sa gSa

rks ;g x vkSj y esa (a) ,d jSf[kd lehdj.k dgykrk gS (b) f?kkr lehdj.k dgk tkrk gS

(c) f=k?kkr lehdj.k dgk tkrk gS

(d) ;g x vkSj y esa ,d cgqin dgykrk gS


Q.9 Every positive odd integer is found in the form of ?

(a) 2q + 1 (b) 2q (c) 2q – 1 (d) q Q.10 The graph of the curve y = x3 – 4x cuts the x-axis

at the point(s) ? (a) Two points (b) Three points (c) One point (d) No points Q.11 Construct a right ∆ whose sides lengths are

5 cm, 6 cm, and 8 cm.

Q.12 Define the decimal form of 4825 is terminating or

non-terminating recurring ? Q.13 If x = a then the value of polynomial p(x)

= x2 –5x + 6 is ? Q.14 In quadratic equation ax2 + bx + c = 0, a ≠ 0

what is the value of x ?

Q.15 What is the nature of common difference ? Q.16 Two points C(4, 6) and D(6, 8) lies in a plane,

then find distance between these points. Q.17 Write the formula to find the mean by standard

deviation method.

Q.18 Give the name of the event which has only one result.

Q.19 Write the formula to find nth term of an A.P.

whose last term is (l) and common difference is d.

Q.9 izR;sd /kukRed fo"ke iw.kk±d fdl :i dk gksrk gS ?

(a) 2q + 1 (b) 2q (c) 2q – 1 (d) q Q.10 y = x3 – 4x dk xzkQ x-vk dks fdrus fcUnqvksa ij

izfrPNsn djrk gS ? (a) nks fcUnqvkas ij (b) rhu fcUnqvksa ij (c) ,d fcUnq ij (d) fdlh fcUnq ij ugha

Q.11 ,d ,slk ledks.k ∆ dh jpuk dhft, ftldh Hkqtk,sa

5 cm, 6 cm, ,oa 8 cm gksA

Q.12 4825

dk n'keyo :i lrr~ gSa ;k vkorhZ vlrr~A

Q.13 ;fn x = a gSa rks cgqin p(x) = x2 –5x + 6 dk eku

D;k gksxk ?

Q.14 f?kkr lehdj.k ax2 + bx + c = 0, a ≠ 0 esa x dk

eku D;k gksxk ?

Q.15 lkoZ vUrj dh izdfr D;k gksxh ?

Q.16 fdlh ry esa nks fcUnq C(4, 6) vkSj D(6, 8) fLFkr gS rks buds chp dh nwjh fudkysaA

Q.17 ek/; Kkr djus dh ix fopyu fof/k dk lw=k fy[ksaA

Q.18 og ?kVuk ftldk dsoy ,d gh ifj.kke gks mls D;k

dgrs gSa ?

Q.19 fdlh A.P. ds vfUre in (l) ls nok¡ in dk lw=k

fy[ksaA ;fn lkoZ vUrj d gSA


Q.20 Find the value of sin2 60º + cos2 60º. Q.21 From a point P tangents PA and PB are drawn to

a circle whose centre is O. If tangents are inclined at 80º, then find the value of ∠POA.

Q.22 Non-terminating recurring decimal number

61.0 = 0.16666..... change into rational number

of the form qp .

Q.23 Solve by factor method: (x – 2)2 – 25 = 0 Q.24 The first term of an A.P. is a = 3.5, common

difference d = 0 and nth term = 105 then find n ? Q.25 Find the nature of roots of the quadratic equation

2x2 – 5x + 3 = 0. Q.26 The length of side of an equilaternal triangle

ABC is 2a, then find the length of each altitude of the triangle.

Q.27 If tan 2A = cot (A – 18º) then find A where 2A is

acute angle. Q.28 Check whether the points (5, – 2), (6, 4) and

(7, – 2) are the vertices of isosceles triangle.

Q.29 A circular closed road having external and internal radii 7 m and 3 m, respectively. Find the area of the road ?

Q.30 Find LCM and HCF of 336 and 54 by prime

factor method.

Q.20 sin2 60º + cos2 60º dk eku crk,saA Q.21 ;fn ,d fcUnq P ls O dsUnz okys fdlh oÙk ij PA,

PB Li'kZ js[kk,sa ijLij 80º ds dks.k ij >qdh gksa] rks

∠POA Kkr djsA

Q.22 vlrr~ vkSj vkorhZ n'keyo 61.0 = 0.16666..... dks

ifjes; la[;k qp ds :i esa O;Dr dhft,A

Q.23 xq.ku[k.M ds iz;ksx ls gy djsa : (x – 2)2 – 25 = 0 Q.24 ;fn A.P. dk izFke in a = 3.5, lkoZvUrj d = 0 vkSj

nok¡ in = 105 gks rks n Kkr dhft,A Q.25 f?kkr lehdj.k 2x2 – 5x + 3 = 0 ds ewyksa dh izdfr

Kkr dhft,A

Q.26 ,d leckgq f=kHkqt ABC dh Hkqtk 2a gSA mlds

izR;sd 'kh"kZyac dh yEckbZ Kkr dhft,A

Q.27 ;fn tan 2A = cot (A – 18º) rks A dk eku Kkr djsa

tcfd 2A ,d U;wu dks.k gSA Q.28 tk¡p dhft, fd D;k fcUnq (5, – 2), (6, 4) vkSj (7, – 2)

,d lefckgq f=kHkqt ds 'kh"kZ gSaA

Q.29 ,d oÙkkdkj cUn lM+d dh ckgjh ,oa vkUrfjd

f=kT;k,sa Øe'k% 7 ehVj rFkk 3 ehVj gSA lM+d dk

ks=kQy Kkr dhft, ?

Q.30 vHkkT; xq.ku[k.M fof/k kjk 336 vkSj 54 dk LCM vkSj HCF Kkr dhft,A


Q.31 Find the value of the given expression : sin 60º cos 30º + sin 30º cos 60º. Q.32 Prove that 2 is an irrational number. Q.33 If co-ordinates of points A and B are (– 2, – 2)

and (2, – 4) respectively, then find the

co-ordinates of point P when AP = 73 AB and

point P lies on line segment AB. Q.34 The diagonals of a quadrilateral ABCD cut at

point O such that BOAO =

DOCO then prove that

ABCD is a trapezium. Q.35 Among two supplementry angles, the large angle

is exceed by 18 degree to small angle. Find the angles.

Q.36 If sin A = 53 then find the values of cos A anda

tan A. Q.37 A solid is made of by taking a cone on the semi-

sphere whose radii are 1 cm and the height of the cone is equal to its radius then find the volume of the solid in terms of π.

Q.38 Find the number of two digits numbers which are

divisible by 3.

Q.39 ABC is an isosceles triangle in which AC = BC. If AB2 = 2AC2 then prove that ABC is a right angle triangle.

Q.31 sin 60º cos 30º + sin 30º cos 60º dk eku Kkr djsaA

Q.32 fl) dhft, fd 2 ,d vifjes; la[;k gSA Q.33 ;fn A vkSj B Øe'k% (– 2, – 2) vkSj (2, – 4) gksa] rks

fcUnq P ds funsZ'kkad Kkr dhft, rkfd AP = 73 AB

gks vkSj fcUnq P js[kk[k.M AB ij fLFkr gksA

Q.34 ,d prqHkqZt ABCD ds fod.kZ ijLij O fcUnq ij bl

izdkj izfrPNsn djrs gS fd BOAO =

DOCO gS rks fl)

djsa fd ABCD ,d leyEc prqHkqZt gSA Q.35 nks lEiwjd dks.kksa esa cM+k dks.k NksVs dks.k ls 18 fMxzh

vf/kd gSA nksuks dks.k Kkr dhft,A

Q.36 ;fn sin A = 53rks cos A ,oa tan A dk eku Kkr

djsaA Q.37 ,d Bksl] ,d v)Zxksys ij [kM+s ,d 'kadq ds vkdkj

dk gS] ftudh f=kT;k,sa 1 cm gSa] rFkk 'kadq dh Å¡pkbZ mldh f=kT;k ds cjkcj gSA bl Bksl dk vk;ru π ds inksa esa Kkr dhft,A

Q.38 nks vadks okyh fdruh la[;k,sa 3 ls foHkkT; gSa ? Q.39 ABC ,d lefckgq f=kHkqt gS ftlesa AC = BC gSA

;fn AB2 = 2AC2 gS] rks fl) dhft, fd ABC ,d ledks.k f=kHkqt gSA


Q.40 Find out arithmetic mean by the following tables: Digit No. of students

0 — 10 10 — 20 20 — 30 30 — 40

10 20 14 06

Q.41 Find the sum of the following series :

7 + 10 21 + 14 + ............... + 84.

Q.42 Prove that the angle between the tangents drawn from an external point to a circle is a supplementry angle of the angle made by the line segment drawn from the points of contact to the centre of the circle.

Q.43 Find the 31st term of an A.P. whose 11th term is

38 and 16th term is 73. Q.44 For what value of k for which the following pair

of linear equations has no solution ? 3x + y = 1 (2k – 1)x + (k – 1)y = 2k + 1 Q.45 If we add 2 to both numerator and denominator

of a fraction, then the fraction will be 119 . If we

add 3 to both numerator and denominator then

the fraction will be 65 , then find the fraction.

Q.46 Draw the graph of the equation x – y + 1 = 0 and 3x + 2y – 12 = 0. Also find the vertices of the triangle formed by the x-axis and these lines and shaded the triangular part.

Q.40 fuEufyf[kr lkj.kh dk lekUrj ek/; fudkysa : vad fo|kfFkZ;ksa dh la[;k

0 — 10 10 — 20 20 — 30 30 — 40

10 20 14 06

Q.41 uhps fn gqbZ Js.kh dk ;ksxQy Kkr dhft, :

7 + 10 21 + 14 + ............... + 84.

Q.42 fl) dhft, fd fdlh cká fcUnq ls fdlh oÙk ij [khaph xbZ Li'kZ js[kkvksa ds chp dk dks.k Li'kZ fcUnqvksa dks feykus okys js[kk[k.M kjk dsUnz ij vUrfjr dks.k dk laiwjd gksrk gSA

Q.43 ml A.P. dk 31ok¡ in Kkr dhft,] ftldk 11ok¡ in 38, 16ok¡ in 73 gSA

Q.44 k ds fdl eku ds fy;s fuEu jSf[kd lehdj.k ds ;qXe dk dksbZ gy ugha gS ?

3x + y = 1 (2k – 1)x + (k – 1)y = 2k + 1

Q.45 ;fn fdlh fHkUu ds va'k rFkk gj esa 2 tksM+ fn;k

tk,] rks og 119 gks tkrh gSA ;fn va'k o gj nksuksa esa

3 tksM+ fn;k tk, rks og 65 gks tkrh gSA og fHkUu

Kkr dhft,A Q.46 lehdj.kksa x – y + 1 = 0 vkSj 3x + 2y – 12 = 0 dk

xzkQ [khafp,A x-vk vkSj bu js[kkvksa ls cus f=kHkqt ds 'kh"kks± ds funsZ'kkad Kkr dhft, vkSj f=kHkqtkdkj Hkkx dks Nk;kafdr dhft,A


OR

Prove that the two tangents drawn to a circle from an external point are equal in length.

Q.47 A tower is standing vertically on the bank of a

river and the angle of elevation of the top of the tower from a point on the opposite bank of the river is 60º and at the point away from this point at a distance of 30 meter to the line meeting the bottom of the tower, the angle of elevation is 30º, then find the height of the tower and breadth of the river.

OR From a point of a bridge, the angles of

depression of opposite bank of a canal is found to be 30º and 45º respectively. If the height of the bridge from the bank of canal is 6 m then find the breadth of the canal.

vFkok fl) dhft, fd fdlh cká fcUnq ls oÙk ij [kahaph

xbZ nks Li'kZ js[kkvksa fd yEckbZ;k¡ cjkcj gksrh gSA

Q.47 ,d unh ds fdukjs ij ,d VkWoj yEcor~ [kM+k gSA VkWoj ds Bhd lkeus nwljs fdukjs ij ds ,d vU; fcUnq ls VkWoj ds f'k[kj dk mUu;u dks.k 60º gSA blh fdukjs ij bl fcUnq ls 30 ehVj nwj vkSj bl fcUnq dh ehukj ds ikn ls feykus okyh js[kk ij fLFkr ,d vU; fcUnq ls VkWoj ds f'k[kj dk mUu;u dks.k 30º gSA VkWoj dh Å¡pkbZ vkSj unh dh pkSM+kbZ Kkr djsA

vFkok ,d ugj ds iqy ds ,d fcUnq ls ugj ds lEeq[k

fdukjksa ds voueu dks.k Øe'k% 30º vkSj 45º gSA ;fn iqy fdukjksa ls 6 ehVj dh Å¡pkbZ ij gks] rks ugj dh pkSM+kbZ Kkr dhft,A

SCIENCE · 2020. 9. 12. · CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000...

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Transcript of SCIENCE · 2020. 9. 12. · CAREER POINT, CP Tower, Road No.1, IPIA, Kota (Raj.), Ph: 0744-3040000...