Page 1
DEECET – 2022
(PART - A)
Teaching Aptitude – SET – 2
1. The meaning of the Greek word “Philos” is
1. Wisdom
2. Learning
3. Knowing
4. Love
ç^Å£ |<+ »» Philosµµ nsÁ+
1. C²ãq+
2. HûsÁTÌ¿Ãe&+
3. Ôî\TdT¿=qT³
4. ç|eT
2. The Academic authority to develop textbooks for school Education
in our state is
1. SCERT, Andhra Pradesh
2. SSA, Andhra Pradesh
3. NCERT, New Delhi
4. SIET, Andhra Pradesh
eTq sçw+¼ ýË bÍsÄXÁ æ\ $<«Å£ d++~ó+º bÍsÄ«Á |Úd¿ï ±\ sÁÖ|¿\£ ÎqÅ£
nBó¿£ Ôá+ #ûjTá &q d+dÆ
1. SCERT, +ç<óç|<ûXÙ
2. SSA, +ç<óç|<ûXÙ
3. NCERT, qÖ« &ó©¢
4. SIET, +ç<óç |<Xû Ù
Page 2
3. RTE – 2009 Act related to
1. Teachers Salaries
2. Adult Education
3. Free and compulsory Education to 6 to 14 years
age group children
4. Right to Information Act
RTE –2009 #á³+
¼ B¿ì d++~ó+ºq~
1. bÍ<ó«jáTT\ JÔá uóÔ «\T
2. ejîÖÈq $<«
3. 6 qT+º 14 d+eÔáàs\ýË|Ú |¾\\¢ Å£ ºÔá sÁÒ+<ó
çbÍ<¸$ T¿£ $<«
4. deÖ#sÁ d¿£sD Á V²Å£Ø #á³+¼
4. Expand ECCE
1. Early child character and Education
2. English course on continuing Education
3. Early child control and Education
4. Early childhood care and Education
ECCE $d]
ï +#á>±
1. Early child character and Education
2. English course on continuing Education
3. Early child control and Education
4. Early childhood care and Education
Page 3
5. If majority of students in your class are weak you should
1. keep your teaching slow
2. not care about them
3. keep your teaching slow along with some extra guidance to
bright pupil
4. suggest them to read guides
ú Ôás>Á Ü
· ýË mÅ£Øe eT+~ $<«sÁT\T yîqT¿£& +fñ
1. ú uË<óq qT <q+>± #ûkÍïeÚ
2. y] >·T]+º |{+¼ì #áT¿ÃeÚ
3. uË<óqqT <q+>± #ûdÖï, Ôî*yîÕq $<«sÁT\Å£ n<q|Ú
eÖsÁZ<sÁô¿£ÔáÇ+ #ûkÍïeÚ.
4. >Â &Õ \ T #á<e eT dÖºkÍïeÚ.
Page 4
G. K. – SET - 2
6. Kanjeevaram Silk is famous in the state of
1. Tamilnadu
2. Kerala
3. Karnataka
4. Telangana
¿±+JesÁ+ |³T¼Å£ ç|d~¾ Æ #î+~q sçw+¼
1. Ôá$TÞøH&T
2. ¿¹ sÁÞø
3. ¿£s³¿£
4. Ôî\+>±D
7. The martial art of Andhra Pradesh
1. Kathi Samu
2. Silambam
3. Parikhand
4. Thoda
+ç<óç |<Xû ÅÙ £ #î+~q eÖsÁýü Ù sY¼
1. ¿£Ükï ÍeTT
2. d¾ý++
3. |]K+&
4. ÔÃ&
Page 5
8. The “International Teacher’s Day” is celebrated on
1. 5th September
2. 8th March
3. 1st January
4. 5th October
»»n+Ôás¨rjáT bÍ<ó«jáT ~HÃÔáàe+µµ ÈsÁT|ÚÅ£Hû sÃE
1. 5 d|¼+sY
2. 8 eÖ]Ì
3. 1 Èqe]
4. 5 n¿Ã¼sY
9. The headquarter of “Reserve Bank of India” is located at
1. Bengaluru
2. Mumbai
3. Hyderabad
4. New Delhi
»»]ÈsYÇ u²«+¿ù |t +&jáÖµµ ç|<óq ¿±s«\jáT+#á̳ ¿£\<T
1. uÉ+>·ÞøSsÁT
2. eTT+u²sTT
3. VÕ²<su²<
4. qÖ« &ó©¢
Page 6
10. The full form of “IPL” is
1. Indian Premier League
2. Indo – Pakistan League
3. International Premier League
4. Indian Players League
IPL qT $d]
ï +#á>±
1. +&jTá H ç|¾$TjáTsY ©>´
2. +&à ` bÍ¿ìkÍïH ©>´
3. +³¹swqýÙ ç|¾$TjáTsY ©>´
4. +&jTá H |¢jTá sYà ©>´
Page 7
English – SET – 2
11. A person who knows many languages
1. linguist
2. polyglot
3. grammarian
4. bilingual
12. I finished my project work several days _______
of the deadline.
1. ahead of
2. instead of
3. in spite of
4. according to
13. He was fond ___ Jimmy.
1. in
2. to
3. of
4. at
Page 8
14. Would you like a _____ of cake.
1. piece
2. peace
3. piese
4. peece
15. Find the passive form for the following sentence
The dog chased the cat.
1. The cat chases the dog.
2. The cat was chased by the dog.
3. The cat is chased by the dog.
4. The cat chased by the dog.
Page 9
Telugu – SET – 2
16. ¿ì+~ y{ìýË »»n\ÎçbÍD²\TµµÔÃ @sÁÎ&q |<+
1. K>·+
2. Ôá\
3. sÁ<¸+
4. |\ +
17. ¿ì+~ y{ìýË »»#áµµ esÁZÅ£ #î+~q n¿£sÁ+
1. È
2. q
3. |
4. ³
18. ¿ì+~ y{ìýË d+jáTT¿±ï¿s£ +Á >·\ |< >·T]ï+#á+&.
1. |³D¼ +
2. qqT
3. >=çÂs
4. <sÒsÁT
Page 10
19. »»¿±Þ²ß yûÞ²ß |&Tµµ ` C²rjáÖ¿ì nsÁ+
1. mesÁT |{¼ì+#áT¿Ã¿£ bþe&+
2. u²>± nuó²«d+ ¿£\
3. çÜeTý²&T
4. <T:Ï+#áT
20. »çV²µ |<¿ì $¿£Ü
1. u²eT&T
2. u²eT
3. çu²V²
4. eT
Page 11
1st Language Telugu – SET - 2
21. »»ç|sÁDµµ Ôá¿£<¸ sÁ#ásTTÔá
1. m.|¾.CÉ. nTÝýÙ ¿£ý²+
2. &T¦ ¿£weTÖ]ï
3. <TePÇ] s$TÂs&¦
4. |Ú³¼|] ï HsjáTD²#sÁT«\T
22. »»+еµ |<¿ì |s«jáT|<\T
1. dq, <+&T
2. úsÁT, <¿e£ TT
3. e¿£+ , ÔásTÁ eÚ
4. ¿±Xø+, $TqT
23. »»ºqjáT+µµ |<+ýË d+~ó
1. $dsÁZd+~ó
2. nqTHd¾¿£ d+~ó
3. s¹ bÍ>·eTd+~ó
4. XøÌÔáÇd+~ó
24. »»eTq dTuóç <Å£ eTqdT uóç <eTjûT«µµ y¿£«+ýË n\+¿±sÁ+
1. eÔ«qTçbÍd
2. jáTeT¿£+
3. n+Ô«qTçbÍd
4. ý²{²qTçbÍd
Page 12
25. »»neTÔá+ Å£]d¾q sçܵµ ¿£$Ô d+¿£\q+ sÁ#sá TTÔá
1. qe \¿¡ HsjáTD
2. <TePÇ] s$TÂs&¦
3. <ûesÁ¿=+& u²\>·+>±<ós Á Ü\¿ù
4. $<ÇH $XøÇ+
26. »»y&T m|Ú&T ekÍï&õµ @sÁ¿£yTî q® y¿£«+
1. d+<ûVä sÁ¿Æ £ y¿£«+
2. ÔsÁ¿Æ £ y¿£«+
3. ç|sÁD y¿£«+
4. nqTeTÜ y¿£«+
27. »»|ÚHeT qsÁ¿e£ TT qT+& sÁ¿ì+ #áTy&Tµµ eÚ«ÔáÎÔá«sÁeÆ TT sjáT+&.
1. >·TsÁTeÚ
2. ¥w§«&T
3. |ÚçÔáT&T
4. Ôáeï TT&T
28. »»kÍ<ó« + ¿±~µµ deÖd |<e TT >·T]ï+#á+&.
1. nkÍ<ó« eTT
2. kÍ<ó«kÍ<ó« eTT\T
3. kÍ<ó«yûT
4. kÍ<ó« eTT ¿±Hû ¿±<T.
Page 13
29. »»u <Æ _óÅ£ eÚ\#û yûý²~ BbÍ\T yî*Ð+#á&¦sTTµµ. B¿ì ¿£sD
ïÁ ì
y¿£«+ >·T]ï+#á+&.
1. u <Æ _óÅ£ eÚ\T yûý²~ BbÍ\qT yî*Ð+#sÁT.
2. u <Æ _Å£eÚ\T yûý²~ BbÍ\qT yî*Ð+#áý<ñ T .
3. yûý²~ BbÍ\T u <Æ _Å£ eÚ\#û yî*Ð+#sÁT.
4. u <Æ _Å£eÚ\T yûý²~ BbÍ\qT yî*ÐkÍïsÁT.
30. ç|Ü bÍ<+ýËqÖ s +&e n¿£s +Á ÿ¹¿ n¿£s yÁ Tî ® +&{² @eT+{²sÁT?
1. eÔá+ï
2. jáTÜ
3. çbÍd
4. çbÍdjTá Ü
Page 14
Mathematics – SET - 2
31. The maximum number in the common factors of the numbers 504,
792, 1080
504, 792, 1080 d+K«\ jîTT¿£Ø eT& ¿±sÁD²+¿±\ýË >·]w¼
d+K«
1. 4
2. 5
3. 6
4. 7
32. The length of the quadrilateral is twice to its breadth. If the perimeter
is 48c.m, the length of the quadrilateral is.
1. 16 cm
2. 8 cm
3. 15 cm
4. 9 cm
ÿ¿£ BsÁé #áÔTá sÁçd+ jîTT¿£Ø bõ&eÚ < yî&\ TÎ ¿ì Âs+&T s ³T¢ eÚ+~.
< #áT³T¼ ¿=\Ôá 48 d+ MT nsTTq BsÁé #áÔTá sÁçd+ jîTT¿£Ø bõ&eÚ
1. 16 d+ MT
2. 8 d+ MT
3. 15 d+ MT
4. 9 d+ MT.
Page 15
33. A motor bike can travel 62.5 k.m with 1 litre of petrol. With
10 litres of petrol how much distance can it travel?
1. 525 km
2. 625 km
3. 635 km
4. 265 km
ÿ¿£ yîÖ{²sY uÉ¿Õ ù 1 ©³sY |ç{ËýÙ Ôà 62. 5 ¿ì.MT. <ÖsÁ+
ç|jÖá Dì+#á>\· <T. n<û yV²q+ 10 ©³sÁ¢ |ç{ËýÙ Ôà m+Ôá <ÖsÁ+
ç|jÖá Dì+#á>\· <T
1. 525 ¿ì.MT.
2. 625 ¿ì.MT.
3. 635 ¿ì.MT.
4. 265 ¿ì.MT.
34. If the ratio of diameters of two circles is 3:4, then find the ratio of
their perimeters?
s +&T eÔï\ y«kÍ\ wÎÜï 3:4 nsTTq y{ì #áT³T¼¿=\Ôá\
wÎÜï m+Ôá ?
1. 4:3
2. 2:3
3. 3:2
4. 3:4
Page 16
35. A tank with capacity of 50 litres can be filled in 5 hours. If the
capacity of the tank is 75 litres, how many hours does it take
to fill?
50 ©³sÁ¢ |]eÖD+ ¿£\ Ô={ì¼ +|ڳţ 5 >·+³\ deTjáT+ |&Ô
û
75 ©³sÁ¢ |]eÖD+ ¿£\ Ô={ì¼ +|ڳţ m >·+³\ deTjáT+ |³T¼qT ?
1. 71
2
2. 81
2
3. 91
2
4. 71
3
36. For the principal amount of Rupees 12000, the interest rate is 10 %
for the period of 1 years. If the interest is compounded for 6 months
how much interest has to be paid?
1. Rs. 3972
2. Rs. 3872
3. Rs. 3672
4. Rs. 4072
12000 sÁÖbÍjáT\T 10 XæÔá+ e&¦ ¿ì 1 1 d+eÔáàs\ ¿±\+ ÔásÁTyÔá
2
6 Hî\\¿ì e&¦ ÜsÁ>¿· f
£ ¼ñ |<Ü
Ý |Õ m+Ôá e&¦ #î*+¢ #* ?
1. sÁÖ. 3972
2. sÁÖ. 3872
3. sÁÖ. 3672
4. sÁÖ. 4072
Page 17
37. The owner of a house enhancing the rent at the rate of 5% per
annum. If the present rent is Rs.2500 then how much rent has to pay
after two years?
1. Rs. 2756.25
2. Rs. 2756.50
3. Rs. 2678.25
4. Rs. 2678.50
ÿ¿£ +{ì jáTÈeÖ Ôáq +{ì |Õ n<îÝ qT d+eÔáàs+Ô¿ì 5% #=|ÚÎq
|+#áTÔáT+&>±, ç|dT Ô
ï +á 2500 sÁÖbÍjáT\T n<îÝ edÖ\T #ûdT +ï fñ
2d+eÔáàs\ ÔásTÁ yÔá m+Ôá n<îÝ +&TqT?
1. sÁÖ. 2756.25
2. sÁÖ. 2756.50
3. sÁÖ. 2678.25
4. sÁÖ. 2678.50
38. If the polynomials x 3 + ax 2 + 5 and x 3 - 2 x 2 + a are divided by (x+2)
leave the same remainder, find the value of a.
x 3 + ax 2 + 5 eT]jáTT x 3 - 2 x 2 + a \qT (x+2) uó²Ð+ºq|Ú&T deÖq
Xâw+ $TÐ*q³¢sTTÔû, a $\TeqT ¿£qT>=q+&.
13
1. -
3
13
2.
3
14
3.
3
14
4. -
3
Page 18
39. Length of the shadow of a 15mts. high pole is 5√3mts. at 7 o clock
in the morning. Then what is the angle of elevation of the Sun rays
with the ground at that time?
<jTá + 7 >·+³\Å£ 15 MT³sÁ¢ mÔáTï ¿£\ d+ uó+ jîTT¿£Ø ú& bõ&eÚ
5 3 MT³sÁT.¢ deTjáT+ ýË dÖsÁ« ¿ìsD Á ²\T uóÖ $T Ôà m+Ôá ¿ÃD+
#ûdT Hï sTT ?
1. 70°
2. 60°
3. 90°
4. 30°
40. Product of the roots of a quadratic equation is
ÿ¿£ esÁZ dMT¿£sD
Á + jîTT¿£Ø eTÖý²\ \Ý+ m+Ôá ?
a
1.
b
c
2.
a
d
3.
a
a
4.
c
Page 19
General Science – SET – 2
(Biology)
41. The immovable joints are present in
1. Knee
2. Shoulder
3. Neck
4. Skull
¿£<\ ¿¡Þø ß +&û #óT
1. yîÖ¿±\T
2. uóTC+
3. yîT&
4. |ÚçÂs
42. Non insectivorous plant
1. Drosera
2. Nepenthes
3. utricularia
4. dodder
¿¡³¿±Vä] ¿± yîTT¿£Ø
1. ç&Ãd¾sÁ
2. Hî|+B¸dt
3. jáTTç{ìÅ£ «ýñ]jáÖ
4. &&sY
Page 20
43. The synthetic fibre which is generally called “fake fur” is
1. Acrylic
2. Rayon
3. Nylon
4. Silk
¿£çÜeT <s\ýË »»q¿ì© µµ>± |¾\e&û~
1. nç¿£*¿ù
2. ¹sjáÖH
3. HîÕý²H
4. d¾ýØÙ
44. Malphigian tubules are secretory organs in
1. earth worm
2. housefly
3. flat worm
4. hen
¿ì+~ yýË eÖ©ÎÛjáTH H[¿£\T $ds¿Á̈ ±ejáTy\T>± ¿£\$.
1. yqbÍeTT
2. >·
3. <îÝ|ÚsÁT>·T
4. ¿Ã&
Page 21
45. The digestive Juice without enzyme is
1. Bile juice
2. Gastric juice
3. Pancreatic juice
4. Saliva
m+CÉyÕ T \T ýñ JsÁs Ád+
1. |ÕÔ«á sÁd+
2. JsÁsÁd+
3. ¿Ã¢eTsÁd+
4. ý²ý²È\+
Page 22
General Science SET-2
Physical Science
46. The process which add water vapour to the atmosphere is
1. Solidification
2. Precipitation
3. Condensation
4. Evaporation
¿ì+~ yýË yÔesÁD²¿ì ú{ì $] #ûs¹ Ì ç|ç¿ìjTá
1. e&>Þ· ø ß
2. nebÍÔá+
3. kÍ+çB¿£sD Á +
4. uó²wÓÎuóeq+
47. A freely suspended magnet always comes to rest in direction of
1. North - East
2. South - West
3. East - West
4. North - South
dÇ#áÌ>Û ± yûý²&BjáT&q njáTkÍØ+Ôá+ m\¢|ð &T #áÖ| ~Å£Ø\T
1. ÔáïsÁ+ ` ÔáÖsÁTÎ
2. <¿ìD+ ` |¥ÌeT
3. ÔáÖsÁTÎ ` |&eTsÁ
4. Ôásï +Á ` <¿D ì +
Page 23
48. If two mirrors are kept at an angle of 180° between them, then the
number of images formed will be
s +&T <sÎÁ D²\ eT<ó« 180° ¿ÃD+ +&û $<ó+ >± +ºq|Ú&T y{ì eT<ó«
@sÁÎ&û ç|Ü_+u²\ d+K«
1. 1
2. 2
3. 3
4. 4
49. Which of the following is the unit of acceleration
¿ì+~ y{ìýË ÔáÇsÁD²¿ì jáTÖ³T¢
1. ms -1
2. ms -2
3. Newton
4. ms 2
50. Formula for Aluminium Oxide is
n\Ö«$TjáT+ ¿àÕ & bÍsÁTý²
1. Al3O
2. Al2 O3
3. AlO2
4. AlO3
Page 24
Social Studies – SET – 2
51. International Date line
1. 180º longitude
2. 0º longitude
3. 0º latitude
4. 90º latitude
n+Ôás¨rjáT ~q¹sK
1. 180° s¹ U²+Xø+
2. 0° s¹ U²+Xø+
3. 0° n¿±+Xø+
4. 90° n¿±+Xø+
52. A flat – topped table lands standing above the surrounding area
1. plateaus
2. mountains
3. plains
4. oceans
mÔásï TTq deT |]Ôá\+ >·\ \¢|s TÁ |Ú uóÖ eTT\T
1. |ÓsuÁÄ Öó eTT\T
2. |sÇÁ Ô\T
3. yîT<® H\T
4. deTTç<\T
Page 25
53. Ruling by a king or queen is called
1. Democracy
2. Government
3. Parliament
4. Monarchy
ÿ¿£ sE ýñ< sDì #ûd bÍ\q
1. ç|C²kÍÇeT«+
2. ç|uóTÔáÇ+
3. bÍsÁ¢yîT+{Ù
4. s#á]¿£+
54. The word “Sikh” means
1. prophet
2. teacher
3. student
4. leader
»»d¾Å£Øµµ nHû |<¿ì nsÁ+
1. ç|e¿£ï
2. >·TsÁTeÚ
3. $<«]
4. HjáTÅ£&T
Page 26
55. Which is used extensively in electrical and electronic industry?
1. Chromium
2. Mica
3. Barytes
4. Asbestos
$<T«ÔáT,ï m\翱¼¿ù |]çXøeT\ýË B $çdï Ôá+>± |jÖî ÐkÍïsTÁ .
1. ç¿Ã$TjáT+
2. yîT¿® ±
3. uÉÂsÕ{ìdt
4. dÒkͼdt
56. “Sare Jahase Achaha” was written by
1. Mohammed Iqbal
2. Rabindranath Tagore
3. Bankim Chandra Chatterjee
4. Sarojini Naidu
»»k͹s ÈVäd n#̵µ sÁº+ºq ysÁT
1. eTV²eT< ¿±ÒýÙ
2. sÁM+ç<H<¸ sÄ>·ÖsY
3. +¿ì+#á+ç< #ó³ á ¯¨
4. dsÃú HjáTT&T
Page 27
57. In Telugu the first talkie movie was
1. Alam Ara
2. Bhakta Prahalada
3. Bhishma Pratigna
4. Mana Desham
Ôî\T>·TýË yîTT<{ì {²¿¡ ºçÔá+
1. \+ s
2. uó¿ ï£ ç|Vä ¢<
3. ;ów ç|ÜÈã
4. eTq<ûX+ø
58. Dowry prohibition act was made in the year
esÁ¿³
£ w<ó# ³
á +¼ ÔájÖá sÁT #ûdq¾ d+eÔáàsÁ+
1. 1959
2. 1961
3. 1963
4. 1965
Page 28
59. The following is a working capital
1. Tools
2. Machines
3. Raw material
4. Buildings
¿ì+~ yýË sÁÇV²D eTÖ\<óq +
1. |eTT³T¢
2. jáT+çÔ\T
3. eTT&ds TÁ Å£
4. uóe H\T
60. “Do or Die” slogan was given by
1. Jawaharlal Nehru
2. Tilak
3. Mahatma Gandhi
4. Subash Chandra Bose
»» Do or Dieµµ n q~+ºqysÁT
1. ÈeV²sY ý²ýÙ HîçVA
2. Ü\¿ù
3. eTVäÔ >±+Bó
4. dTuó²wt #á+ç< uËdt
Page 29
DEECET – 2022
(Mathematics)
SET – 1
61. If + = 1, + = 2 and ( )+ = + , ≠ 0 then
( )
=
+ = 1, + = 2 eT]jáTT ( )+ = + , ≠0
( )
nsTTÔû =
1. 2
2. 4
3. 6
4. 8
62. + is divisible by _______
+ qT Xâôw+>± uó²Ð+#áTq~.
1. − ∀ ∈
2. + ∀ ∈
3. + ∀ =2 − 1, ∈
4. + ∀ =2 , ∈
Page 30
0
63. Let A= and = ≠ such that AB=B and + = 2021
0
then − =
0
A= eT]jáTT = ≠
0
AB=B eT]jáTT + = 2021
nsTTÔû − =
1. 2010
2. 2020
3. 2030
4. 2040
64. If A is invertible matrix of order n, then the determinant of |adj A| is
equal to
A nHû~ ne Ôás>
Á Ü
· $ýËeT eÖçÜ¿£ nsTTÔû |adj | =
1. | |
2. | |
3. | |
4. | |
65. ⃗= +2 +3 , ⃗=3 ∓ −2 , ⃗ =2 −3 + then ⃗. ⃗=
1. 15
2. 17
3. 0
4. None of these
⃗ = +2 +3 , ⃗ =3 ∓ −2 , ⃗ = 2 −3 + nsTTÔû ⃗. ⃗=
1. 15
2. 17
3. 0
4. @B¿±<T
Page 31
66. If the two out of three vectors a, b, c are unit vectors such that
a + b + c = 0 and 2(a.b + b.c + c.a)+3 = 0 then the length 3rd vector is
a, b, c eTÖ&T d~Xø\ýË s
 +&T jáTÖ{Ù d~Xø\T nsTT + + =0
eT]jáTT 2( . + . + . ) + 3 = 0 nsTTÔû 3e d~Xø |]eÖD+
1. 3
2. 2
3. 1
4. 0
67. 203 + 22 + 203 . 22 =
1. –1
2. 0
3. 1
4. 2
68. + = then =
+ = nsTTÔû =
1.
2.
3.
4.
Page 32
69. The period of + =
+ jîTT¿£Ø esÁqï +
1. 2
2.
3.
4.
A 5 C 2
70. If tan = and tan = then a, b, c are in
2 6 2 5
1. A.P
2. G.P
3. H.P
4. Direct Proportion
A 5 C 2
tan = eT]jáTT tan = nsTTq a, b, c \T +{²sTT.
2 6 2 5
1. n+¿£çXâ&ó
2. >·TD²Ôá¿£çXâ&ó
3. V²sÔá¿£çXâ&ó
4. ç|Ôá«¿£ wÎÜï
Page 33
√
71. Evaluate
→0
√
→0
jîTT¿£Ø $\Te
1. 2
1
2. -
2
3. 1
1
4.
2
72. Find the slope of the tangent to the curve =3 − 4 at =4
=3 −4 e翱¿ì = 4 e<Ý dÎsÁôs¹ K jîTT¿£Ø y\T
1. 764
2. 746
3. 647
4. 476
73. If (3, 2, –1), (4, 1, 1) and (6, 2, 5) are the three vertices and (4, 2, 2)
is the centroid of a tetrahedron then find the fourth vertex
ÿ¿£ #áÔTá sÁTÏ jîTT¿£Ø eTÖ&T osü\T (3, 2, –1), (4, 1, 1) eT]jáTT
(6, 2, 5) < ¹¿+ç< u²d+ (4, 2, 2) nsTTÔû H\Ze osÁü+
1. (2,2,2)
2. (3,3,3)
3. (4,4,4)
4. (2,4,5)
Page 34
x
x + e x + e +............ to ¥ dy
74. If y = e x + e , then find
dx
nsTTÔû dy qT ¿£qT>=q+&.
x
x + e x + e +............ to ¥
y = e x+e
dx
1.
2.
3.
4.
75. The curves = and = are orthogonal if
e翱\T = eT]jáTT = \+u²\T ¿±y\+fñ
1. a=b
2. a=–b
3. ab = –1
4. ab = 1
76. Find the slope of the tangent to the curves =3 − 1, = −1
at = 1
=3 − 1, = − 1 e翱\¿ì = 1 _+<TeÚ e<Ý dÎsÁôs
¹ K y\T
1. 2
2. 0
3. 4
4. 5
Page 35
77. The distance between the parallel lines 5 − 3 − 4 = 0 and
10 − 6 − 9 = 0 is
5 − 3 − 4 = 0 eT]jáTT 10 − 6 − 9 = 0
deÖ+ÔásÁ ¹sK\ eT<ó« <ÖsÁ+
1
1.
2
1
2.
3
1
3.
2 34
4. 0
78. Find the interval in which the function + 2 − 5 is strictly
increasing
+ 2 − 5 @ n+Ôás +
Á ýË ¿£ºÌÔá+>± sÃV²D ç|yTû jáT+ neÚÔáT+~.
1. (1, ¥ )
2. ( -1, ¥ )
3. (1,1)
4. ( -1, - 1)
79. Find the equation of the plane passing through the point (1, 1, 1) and
parallel to the plane + 2 + 3 − 7 = 0
(1, 1, 1) _+<TeÚ >·T+& bþeÚ + 2 + 3 − 7 = 0 Ôáý²¿ì
deÖ+Ôás+Á >± +&û Ôá\+ jîTT¿£Ø dMT¿£sD
Á +
1. +2 +3 −5 =0
2. +2 +3 +6 =0
3. +2 +3 −6 =0
4. + + =0
Page 36
80. Find the angle between the lines whose direction ratios are
(1,1,2), (√3, −√3, 0)
(1,1,2), (√3, −√3, 0) ~¿ù d+K«\T>± >·\ s
¹ K\ eT<ó« ¿ÃD² ¿£qT>=q+&.
1. 2p
2. p
p
3.
2
p
4.
4
√
81. The amplitude of
√
d+FsÁ d+K« √ √ jîTT¿£Ø jáTeT+
p
1.
3
p
2. –
3
p
3.
6
p
4. -
6
√
82. If √3 + − √3 − = + then − =
√
√3 + − √3 − = + nsTTÔû − =
1. 256
2. 384 3
3. 384
4. 256 3
Page 37
83. For which least positive value of ‘a’ the equation
2 + ( − 10) + =2 has real roots
‘a’ jîTT¿£Ø @ ¿£w¼ $\TeÅ£ 2 + ( − 10) + =2
dMT¿£sD
Á ²\Å£ ydeï eTÖý²\T +{²sTT
1. 2
2. 4
3. 6
4. 8
84. If the roots of − 14 + 56 + = 0 are in G.P then k =
− 14 + 56 + = 0 \ eTÖý²\T . \T nsTTÔû k=
1. 16
2. – 72
3. 56
4. – 64
85. If 22 : 20 = 11: 52 then =
22 : 20 = 11: 52 nsTTÔû =
1. 3
2. 5
3. 7
4. 9
Page 38
86. If the variance of the first n natural numbers is 10 and the variance
of first m even natural numbers is 16 then m + n =
yîTT<{ì n dV² È d+K«\ $dï Ü 10 eT]jáTT yîTT<{ì m d] dV²È
d+K«\ $dï Ü 16 nsTTÔû + =
1. 18
2. 20
3. 22
4. 24
87. If
( )(
= − then =
)
( )(
= − nsTTÔû =
)
1. 2
2. 3
3. –3
4. –2
88. The number of ways of dividing 2n dissimilar things into two equal
groups containing ‘n’ things in each is
2n $_óq edTïeÚ\qT ‘n’ edTe
ï Ú\T >·\ s +&T deÖq ç>·Ö|Ú\ýË
uó²Ð+#á>\· |<Ô
Æ Tá \ d+K«
( 2n )!
1.
2 ! n! n!
4n!
2.
2 ! n! n!
( n!)2
3.
2!
n!
4.
( 2n! )
2
Page 39
89. When two dice are thrown, the probability of getting the sum
10 or 11 is
s +&T bͺ¿£\T $d¾]q|ð&T y{ì yîTTÔá+ï 10 ýñ< 11 njûT« d+uó²e«Ôá
7
1.
36
5
2.
36
7
3.
18
5
4.
18
90. If X is a poisson variable and ( = 1) = ( = 2) then ( = 0)=
»»Xµµ ÿ¿£ bÍsTTC²H #á\s¥ eT]jáTT ( = 1) = ( = 2) nsTTÔû
( = 0) =
1. 1
2. 2
1
3.
e
1
4.
e2
Page 40
91. I: The circle + − 6 − 4 − 7 = 0 touches Y - axis
II: The circle + − 6 − 4 − 7 = 0 touches X - axis
1. Both I and II are true
2. Neither I nor II true
3. I is true II is false
4. I is false II is true
I: eÔáï+ + − 6 − 4 − 7 = 0 Y - n¿± dÎ¥dT+
ï ~
II: eÔáï+ + − 6 − 4 − 7 = 0 X - n¿± dÎ¥dT+
ï ~
1. I eT]jáTT II dÔ«\T
2. I eT]jáTT II ndÔ«\T
3. I dÔá«+ II ndÔ«á +
4. I ndÔá«+ II dÔá«+
92. The circles ( + ) + ( + ) = , ( + ) + ( + ) =
cut orthogonally if
eÔï\T ( + ) + ( + ) = , ( + ) + ( + ) =
\+#û<qó #ûdï
1. 2(a + )= +
2. a + = +
3. 2(a + )= +
4. a + = +
93. The focus of the parabola − 2 − 8 − 23 = 0 is
− 2 − 8 − 23 = 0 |sy Á \jáT+ jîTT¿£Ø H_ó
1. (1,1)
2. (1, –1)
3. (–1, 1)
4. (–1, –1)
Page 41
94. Two vertices of an ellipse are (5, 0) and (0, –4) then equation of
ellipse is
BsÁé eÔá+ï jîTT¿£Ø osü\T (5, 0) eT]jáTT (0, –4) nsTTÔû BsÁéeÔáï+
jîTT¿£Ø dMT¿£sDÁ +
1. + =1
2. + =1
3. + =1
4. + = 41
95. The mid-point of the chord 4 − 3 = 5 of the hyperbola
2 − 3 = 12 is
nÜ |se\jáT+ 2 − 3 = 12 jîTT¿£Ø C²« 4 − 3 = 5 jîTT¿£Ø
eT<ó« _+<TeÚ
1. 0, −
2. (2,1)
3. ,0
4. ,2
96. ∫ =
1. [ + | − |+
2. + | − |+
3. + | − |− +
4. + | − |− −
Page 42
97. ∫ (1 − ) =
1. +
2. +
3. +
4. − +
98. ∫ . 2 =
1. e
2. e+1
3. e–1
4. 2e + 1
99. ∫ =
1.
2.
3.
4.
100. The integrating factor of ( + 2 ) = is
( +2 ) = jîTT¿£Ø d+¿£\q ¿±sÁD²+¿£+ (I.F)
1.
2.
3.
4. −