Download OU (Osmania-University) Intermediate 2018 Core Subjects 0266 Mathematics Previous Question Papers
Total NoTof Questions -' 24 ? ~ 138ng . v - I I - ?2 ' .2 ' '
. Total No. Of Printed'Pages -'4? IN?)? 8 . I 'I l 9" 3) 5 q (7 I
Part IIH
MATHEMATICS, Paper E II (A)
1 (Algebra and Probablhty)
I . . I. (English Version). ' . _
Time: 3 Hours I -' ' I. 'l' -. . , I > I I ' Max._IIiWarks-: 75
N 0% : This question paper d?onsi'sfsy bf thr?e ISectiEnsrA, B and. C.: I
SECTIONA ? 2' . A 10X 2 .529
. I; __ Very Short Answer Type Questions. ' ? I I I A
i) 2 Answer all questiOIls. ~
g ii) ' Each question carries two marks.
7< -, Ifz = 2.~?'3i,IthenishIow Eha-?c, .22 ?- 42 + 13 = O,
?1
" 72< 1 If'Ilz ~_=I;?1 and7 NZ: i,theII1find Arg L?L
. , , . _ ? - Z /_
,x6.
I . i ~.W ? ? ~ 4 1 .
' ._ 223$ A If SC =I CLS 6, thenfindfthe?value of? [955 + W.) _
2 >4/\ For?rn a quEarEtiE equation whbse rEo?ps are: 7 i 2J5- .'
\5/\If ?I 2 End aareI the roots of 2x3 +x_2 ~7x 6: 0 then? I
find a
"I?XT'39KDAY'5) E ' ' 1I ' r. ' , Turn- Over;
>K\ 7311101 the 1111111be1 of Ways of aIIrangingI the letters of the word
MATHEMATICS '
X 'If? 110 :30 ,then?find 13C?; ?9
E9 ' Prove that CO +1112 . C1 + 4 . C2 +8 C.3 + ..... + 2n. Cn = 3? ~
Find the meah deviatien about the median for the folloWing data ;? ,.
4, 6, 9,3,10, 13,2. 1
W. A PoissOn variable satisfies P(X=1)=P(X= 2.). Find
P(X? 5). ' ? ' '
v SECTIONBV'g ?1 '3- I. , _;5 x 4; 205
I II. 7 Shbrt Answer Type Questiohs. I I '
_ 1) Attempt ahy five question's..
11) ' Each question carries four marks. ?-
>(\ Show that the points 111 the Arga11d diagram represented by the'
complex numbers 2?) + 2i ?- 2? 2i ?2f 3+ 2V3 L are the
vertices of an equilateral triahgle.
1__.+' :1' 1? "
\I?kProve thatgx +1 +x+IIl (3x+1)(x+1)'doesn0t.1ie'
Ibetwee11 1 and 4,1fx is real?
Find the sum of all 4 digit 1111111111111: thatI can b ? formed using thIIa
Idiints .1, 3. 5, 7, 9. ' ? ?
. X F1nc1 the 11: mber of ways of selecting a cricket team of 11 players ,
' from 7 batsmen and 6 bow1ers, such that there W111 be atleast 5
bow1e1?s 1n the team - '
,_ 2x+3x+4. '
- SQ ? Resolve the. fraction 1n_to part1a1fract1on:
M." Suppose 7A and B are 1ndepe11dent events iWith
C~P(A) W06 13(3): 0.7. Thencompute: ? I
1); P(AnB) _ .111; P(AUB)
7 1? PKENAQSZ r '\16 P(A?rygcy.
Wk A, B C are three horses 111 a race. The p1obab111ty OI A to win the
race is twice that of B and probab111ty of B 13 twice that?of C. What
axe the probabilities of A, B and C to W111 the race?
-_SMHmNC .7 ?. '5x7:$f:
' III. Long AnsWer Type Questions 1 ' I '7 A V
? . 1) Attempt any five questions.
1 , 11) 4 Each q11est16n carries seven marks. : L
?17/ 1f C0305 + Cos? + Cosy: Q: Sina + Si-n? + Siny,thenprove
Q
? tha? Cos2 a5} 003,213? + Cos2 y: .2 '? _Sin2 a + Sin2 ,6 + Sin?2 3/.
"R.
f y Solve the equation 9134?10363 + 26x2 ~10x + 1:0
vm rm {DAVJH - -' -?_' '1 ?3 . . N ' H Turn Over
\?? If the coeffmIents of rt h,(~r +'1?)th313211id1.(r.+ 2-)nd terms 1n, the -_ .
expansion of (1 + x)n are 111 A. P. Then show that ?
n?(4r+1)n+4r ?2= Q I
1"13 135 135.7 .61 ' "' '7
\2d\ If x: + ...... , . - then prove
.36 369+ 3.69121-~ 3], _ _ .
that 9x2 +24x= 11.
? -~ Find th??mean' deviation about the'm?an for the follq?wing- dam" :
'Marks-obtaine?d, (L10 10.120 205.30 304.411 40?_50- '
No.ofs?udents I '5 8' ' 15 1. "16 6
\v .. ? _ ? I ~ I . ? V l - . > . ,
, ?g State and prqve-the addition theorem on probability. - '
I >24\ A random variable X has th??follgwih'g probability IdiStribu?aian.
?I
*.X*=x' _0? 12 3.21" '5 H6
j130K=xa' O c?~k ' 2k; 2k' 3'3k . 1k? ' 7212? rng+1 '
"ka."" ;';? m:=Mw.,
"??:P(a
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