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PAPER-II MATHEMATICS-20IS
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Maths-II-B I /2018 2
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PLEASB ENSURE'TIIAT THIS QUESTION BOOKLET CONTAINS 120
QUBSTTONS SBRIALLY I\UMBERED FROM I TO 120.
PRINTED PAGES 32.
l. I'hevatue"rffi is
(A);(1 +i) 1e)#(1 +;) (q#(1 -,) (D)*(1 -,) (E)*(r+i)
2. If the conjugate of a complex number z is A, then z is
(A)* rg)# (c)* (D)* (E)i
3. 'fhe value or
(i'o * (+)") is eclual to
(A)T (B)2+2i (c)? @),12-lZt @)z-zi
l. Ihernoduluso[H-H,t
\, 2 (B) /z (c) 4 (D) B (L) 10
Maths-II-B ll2018
lP. t'.o.
Page 4
5. If z : ui+n/s , then (ytvz + z1e4)3 is equal to
(A) -2 (B) -1 (c)-l (D) -2i -.
6. If cr and b at"e real nurnbers and (a + ib)l1 : 1 + 31, then (b * ia)11 is o.
-. ,
to
(A)r+3 (B)1+31 (c)1-31 (D)0 (i:) -i - s
7. If a* {J, o'--5q-3, p, - 5p - 3, then the equation
, havins I and - as its
.B
"B CI
roots is
(A)3x2-19x-3=0 (B) 3x2 * 19x - 3 = 0
(C)x'*i,9x*3:0 1D.1 3x2 - 19x - 19 : 0
(E)3x2-19x*3:0
'l'he focus oftheparabola yz
- 4y - x *3 _ 0 is
(A) (;,2) re) (; ,-2) rq (z,i) rnr (f ,z) rsl (2,=)
Maths-II-B 112018 4
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Page 5
9. If f :R -+ (0, co) is an increasing function and if limx_zors ,# :
,,
then limr- ,oruffi is equal to
(A); re); e) 2 e) 3 (E) 1
10. Ifl is differentiable at x : 7,then lim,
-rff is
{A) -f '(r) (s) f (1) - f ,(r) rc) zf (r) _ f ,(t)
(D) zf(t) + f, (7) (E)/(1) + f, (t)
11. Eccentricity of the eflipse 4xz + yz
- Bx * 4y -B = 0 is
(A)
f, (B)
f (c)
f (D)
f, (E)
f
12. 'fhe focus ofthe parabola (y + I), _ _B(x + 2) is
(A) (-4, *1) (B) (_ 7,_4) (C) (1,4)
(4,1) 0)) (E) (_1,4)
"..:."
Maths-II-B t/2}fi
lP.t'.o.
Page 6
r----
13. Which of thc following is the equation of a hyperbola?
*2y' * 4x +2y -27 * 0 (D) x' * y2 + 3x - 21, - -: : 0
(C) x'
(E)x2*4x+6y-2=o
14. Let f (x) : px2 * qx * r, wherep,Q,r are constants and p + 0
lf /(5) = -3f (2) and f (*4) = 0, then the other root of / is
(A) 3 (B) -7 (cr) -2 (D) 2 (r:) 6
15. Let /:lR.--+llR satisfy f (x)f (y): f (xy) for all real numbets .).' ,r .
tf f (2) = 4., thoi f (;) :
(A) 0 (B)
i (c)
'2
1 (D) 1
L6. Sum clf last 30 coefficients in thc binornial expansion of (1 + r):
(A) 2" (B) 2u' (c) ztu (D) 2s, - 22e G) Zm
Maths-II-I] 1/2018 6
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Page 7
17. (/s + ,/z)n - (VT - ,12)n :
11^7 zo,la 61 So\6 (C) s\mo (D) 40/6 (t,) 10V6
a
'l'hrce players
18. A, B and C play a garne..Ihe probability tbat A,B
and C will
rlnish the garne are respectively 'l'he probability that
),! ^"a | . the garne is
flnished is
.B I
(A) (B) 1 (C); (D); (E) 1
19. lf z, = 2 - i and zr- 1 * i, then
lffil 1S
(A) z (B) \U (C) 3 (D) V5 (E) 1
20. tf f(x) - then lim, -* f (x) is eclual to
(A) 1 (B) 2 (c); (D) 0 (lj) oo
1r::'.- li-B 1 20 I 8 7
" IP.]"O.
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21. 'l'he valuc of sinan is
3
(A)
,6
,2 T (B)
# (c):f (,)# (E) 1
2
'2
r
)') Thc sum of odd intcgers from 1to 2001 is
(A) (1 1-21)2 (B) (1101)'z (C) (1001)'z (D) (1021)2 (r1) (10- -
23. ll y::++
.l coLx
'9:1" , rhc. y'(x) is equal to
1-{-tan-n
(A) 2 cosz x 0f) 2 cos3 x (C) -cos 2x (D) cos 2x (E) 3 cos x
24. The foci of the hyperbola 76x2 - 9y' - 64x * 1By - 90 :0are
z++sr/r+s\
(A)(ruF,1) rn)(8F,1) (c) ( ,l
(D)(1,*y) (E)(ruF,-1)
Maths-Il-B ll20l8 8
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Page 9
25. If thc sum ol'thc coefficients in thc expansion of (arx,
-Zax + 1)s, is zero,
then rz is equal to
(A) 0 (B) 1 (c) -1 (D) -2 (ri) 2
26. l-he mean derriatio. of tire d,ata 2,9,9,3,6,9,4 frorn the me an is
(A) 2.23 (B) 3.23 (c) 2.s7 (D) 3.s7 (ri) 1.03
27. The mean and variance of a binomial distribution are B and 4 respectively.
What is (X -- r\ o
r) :
(A)+ (B)
# Q* (D); 0j) +
28. The number of diagonars of a polygon with 15 sides is
I
(A) e0 (B) 4s (c) 60 (D) 70 (E) 10
Maths-II-B ll2}rc 9
lP.r.,o.
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29.lnaolass,4}o/oofstr.rdentsstudymathsandscienceancl60%ofStudcl]ts
stuclymaths.Whatistheprobabilityofastuclentstuclyirrgsciencegir'cntllc
studcnt is alreacly studying maths?
(A): (B): (c): (D)
i (E)
i
30. 'l'heeccentricityoftheconic xz +zyz -2x+3y *2:0
is
(A) 0 Gr) # (c) i (D) vz (t1) 1
20' then the mcan of
3l. If the mcan of a set of observations xl'x'2'""'rro is
x, * 4,x, * 8,x, * 12 "' 'x.o * 40 is
(B) 32 (c) 42 (D) 38 (I1) 40
(A) 34
32.Aletleristakenatranclomfromtheword',STATISTICS,,anclanotlrerlctteris
"ASSISTANT"'The probabitity that thcy arc
taken at ranclom frorn thc word
salre letters is
(A)
* G) H (c); tn) * (E)*
10
Maths-II-B1/2018
Page 11
33. If sin q and cos cr are the roots of the equation axz * bx * c - 0, then
(A)a'-b2 +Zac:0 (B)(a -c)2:bz +cz
(C) a'+b2 -Zac
- 0 (D)az +b2 +Zac - 0
(E)ct+b+c:0
34. Ilthe sidcs of a triangle are 4, 5 ancl 6 cms. Then the area of triangle is
sq.clns.
(A); @;,t7 (q * @ *^t7 @)+^t7
35. In a group of 6 boys and 4 girls, a team consisting of four children is formed
such that the team has atleast one boy. The number of ways of forming a team
iike this is
(A) 1se (B) 20e (c) 200 (D) 240 (E) 21.2
36. A passrvord is set u'ith 3 distinct letters from the word LOGARITHMS. I{ow
many such passwords can be forrred?
(A) e0 (B) 72o (C) Bo (D) 72 (E) 120
Space fol rough work
Maths-II-B 112018 11 fP.T'.O.
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37. If 5e7 is divided by 52, the remainder obtained is
(A) 3 (B) s (c) 4 (D) 0 (rj) 1
38. A quadratic equation axz * bx * c : 0, with distinct coefficicnts is fonncd. If
a,b,c are chosen from the numbers 2,3,5, then the probabilitl that thc cquation
has real roots is
(u); (Q; ("); (l.ri
(A)
i
-7 x+g
39. limr-* 3x3+x3+ Zxz+gx-2 is equal to
(A); Gl); (Q# (D); (r _
The minimum value of f (x) = max{x,L * x,2 - x} is
(A); (B); (c) 1 (D) 0 (lr :
41. I'he equations of the asymptotes of the hyperbola xy + 3x - 2y - 70 = 0 at'e
(A)x - -2,!:-3 (B)r -2,y--3 (C)x :2,Y --3
(D)x:4,y:3 (E)x:3,y=4
Maths-lI-B ll20l8 t2
Page 13
42. If f (x) : .16 + 6x, then f '(x) is equal to
(A) 12.t (B) x + a (C) 6xs + 6x lo9(6)
(D) 6,t5 - -t6'-1 (E) xu
43. -I'he starrclard deviation of the data 6,5,9,13,12,8,10 is
(A)f (B)z 7
(D)E
7
(E) 6
44. Iimr*s i-c(]s7nx
1-cosnx
:
(N4 (B)
nz
+ (c) - (D) -oo Gr) 0
45. limr-o it+.n-t :
(A) 0 (B) -1 rCi: (D) 1
46. Let f and g be differentiable functions such that f(3) _5, g(3) _7,
f'(3) - 13, g'(3):6, f't7):2 md,-g'(T) = O,Jf h(x) - (fug)(x), then
h'(3) -
(A) 14 (B) 12 (C) 16 (D) 0 (E) 10
Space for rough rvork
Maths-II-Bl'20ri 13 fP.r.o.
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1
47.
arr5
_:
--;---;
sin(z0 ) cos(20')
1
(c) 2 Q)4 (E) 0
(A) 1 (B)
=
\l /
A Poisson variatc X satis{ics P(X -
l) - P(X * 2). P (X : 6) is eclual to
@)f"e-'z (B)
*u-' Q);'-' (il) 1u-' G) *u '
..i1.- first 20 natural
selectecl lrt.:].,
49. I,et a and b be 2 consecutive integers
is an odJ r''-'<itir c rntcgcr is
nutnbers' The probability nattlTTnfTTfr
(A); (il
'19)
19 (q* (D) 1 i.rU
t,ll .i ,. - ^:--^r^ ''r:g-1.) irtsidc
inscribecl in a circle' :\ iltrrii' '> -
An ellipse of ecceutric\ty'z{ is
'''-.' ' 'r':'l i<
at ranclo1r. 'fhe probability that the point lics outsicl'-
the circle
G): (c); ("); tF,*
(A)
i
l4
Maths-II-B 1/20 1 8
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51' Ifthevectors +t+ 71i +mii,7t+2j + 6ii and [+ 5i + 4ii
arecopranar, then
m is equal to
(A) 38 (B) 0 (c) 10 (D) _10 0t) 2s
52. r-etd. - f * i +ii, E -t+3j+5[and d
=Ti*gi+Lt[. Thentheareaof
theparallerogramwithdiagonals d +B
and 6+d is
(^)416 @:,/n s* to) G Gj)*
53. rf ldJ - 3,lit = 1,ldl - 4 and d +i* d _- 0, then the
value of
d.B + E. t + d. d is equal to
(A) 13 @) 26 G) _2s (D) _13 (D _26
54' If d - dl : ldl = lrl : 1, then the angle berween d. arfid
f
is equar to
(A): (r)
+ (c); (D) o (E) rr
Maths-II-B U20tB
15
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Page 16
55. lf tlrc veotors d:t.-i+2f{,8:2t.*4i+k and i:7t+9i+pfr
nrutually ortliogonal, then 7 + p is cqual to
(A) s (B) -e (c) -1 (D) 0 (rr) -s
56. 'l'he solutions of *'lu + 3x'lu
- 4 : A are
(A) 1,,1,024 (B) -1,7024 (C) 1,1031 (D) -1.024,1 tL -1,1031
57. If the equations x2+ax*1:0 and x2-x-a- 0 havc a teai ,-r-111111011
root b, then the value of b is equal to
(A) 0 (B) 1 (c) -1 (D) 2 (E) 3
58. 11' sin0 - cos 0 = l,thenthe ,,'alue of sin3 0 - cos3 g is eclual to
(A) 1 (B) -1 (c) 0 (D) 2 (E) -2
59. 'l'wo clice of diflerent coiours are tluown at a tirne. The probability'that the sum
is either 7 or l-l- is
(A)
'7
-Jt)
(B)
t*,
1
g icrz
.-r 3 (D):
. g
Maths-II-II 1/2018 t6
Page 17
7 1
+lisequaito
I
o 1.1.
gl -J-+-1-+
' 3r.7t ' 5l5l 7!3! 9!
.11\ r1o
(A) .29 r1O
(B),l (c) ,{ (D); Gi) *
' -101
61. The order and degree of the differential equation
(y*), +(y"), -(y,)n *ys =0is
(D) 1 and 4 (tl) 3 and 5
(A) 3 and.Z (B) 1 and 2 (C) zand 3
6). I1;*W* is equal to
(D) 4 (li)
,2 1
(A)o G)1 (c) 2
clx
63. "0
T- is equal to
J
-t x2 +'zx+Z
(A) o (B):
(c) 3
I
l.* (D) 4 [:t5
I
r.{11 tBt 2
L!
Space for rough rvork
t1 iP.'l-.o.
Maths-Ii-B i/2018
Page 18
65. ii#dx=
1n1fi+, 6)ft+c (c):
-2i
,,\+x * c
-2x
(D)-*c
a-x
''7+x
(l:)-*c
o
.-1+1'
66. I'he remainder when 22000 is divided by 17 is
(A) 1 (B) 2 (C) B (D) 12 (ri) 4
67. 'fhe cocfficient of xs in the expansion of (x * 3)B is
(A) 1,s42 (B) 1s12 (C) 2st2 (D) 2s+2 (L) 24s2
68. The maximum value of 5 cos 0 + 3.ot (A +f) + s is
(A) s (B) 11 (c) 10 (D) -1 (11) 2
69. Ihc area of thc triangle in the complex plane formed by z,iz and z * i"z rs
(A) lzl @) lzl' Q):lrl' (r))
; lz * i.zlz (E) lz + tzl
70. Let f :R -+ IR be a clifferentiable function. If / is evcn, thcn /'(0) is cqual to
(A)1 (B)2 (C)0 G))-1 rEr]
Maths-II-B I /2018 18
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Page 19
71. The coordinate of the point dividing internally the line joining the points
(4, -Z) and (8,6) in the ratio 7: 5 is
(A) (16,18) (B) (18,16) (c; (?,:) (D) (:,?) 1r) (7,3)
72. The area of the triangle formed by the points (a,b * c),(b,c * a),(c,a* b)
L;
(B)a'+b2+cz G)ab*bc*ca
(E) a(ab * bc * ca)
73- tf (r,y) is equidistant from (a 1- b,b - a) and (a - b, a + b), then
tAlar*by-g (B)ax-by-0 (C)bx*ay*A
lDlbr-a!:0 (E)x-Y
7{ Tb equation of the line passing through (a,b) and parallel to the line
r.y
-+-:
.b I IS
(-{); *';: , 1n) ; +'; (c)
; *'i: o
(D);*";*2:o =z .{
@);+';:n
\ iaths-l1-B 1 201 8 T9 IP.r.O.
Page 20
If thc points (2a, a), (a,Za) and (a, a) enclose a triangle of arca
18 square units, then the centroid of the triangle is equal to
(A) (4,4) (B) (B,B) (c) (-+,-4) (D (+^12,4r2) (ri) (6,6)
76. The area of a triangle is 5 sq.units. Two of its vertices are (2,1) and (3,-2).
The third vertex lies on y = x * 3. The coordinates of the third vener can be
(A) (+,;) ru) (;,f) (c) (;,;) r,) (+,T) Gr) (;,;)
77. If x2+y2*2gx+Zfy *1-0 represenls a pair of straight lines, tircn
f' + g'is equal to
(A) 0 (B) 1 (c) 2 (D) 4 (E) 3
If 0 is the angle between the pair of straight lines x2 -Sxy*4y2 *3x- 4=0,
thcn tan2 g is equal to
(A)
* (u)x (q* @'; (u)
?
Space{or rough wgrk
Maths-II-B ll20l8 20
Page 21
7e. rf 3i +2i - 5[ - x(zt- j +fr) +y(t+3j _ zii) + z(-zt+i _3[),ften
(A)x=1,y=2,2:3 (B)r =2,!=3,2=7
(C)x:3,!=1,2=2 (D)r=1,!=3,2=2
(E)x=2,y=2,2=3
80. sin 15" -
@# G)!# (o)#
81. If d and E:3t+ 6i + 6rt. arccollinearancld. i: zr,then d is eclual to
(A) 3(i +7 + [) (B)r+2j+zfr (c) 2t + 2i + 2i;
(D)i+3i+3[ (E)r-3j+Zii
82. If Af - 13,lBl = 5 and d.i - 30, then la xil is equal to
f
(A)30 (n)#\trB (c)#f,e5 1o)!I,,4q3 lnyfrrnTs
....,.'
83. If s6P.+e saP,+s - 30800:1, then r is equal to
:
(A) 6e (B) 41 (c) s1 (D) 61 (E) 4e
Space tbr rough work
Maths-II-B l,'2018 2t lP.r.o.
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84. Distance betwoen trvo parallel lines y : 2x * 4 and! :2x 1is
(A) s (B)s\6 (C)/5 (D) 1
'5 (E) +
\5
85. (7 Co*7 Ct) * ('/ Cz+7 Cz) * ...+ ('Co*7 0) -
(A) 28 -2 (B) 2? - 1 (C) 2, (D) 28 - 1 (1, '_- - z
86. - 3x * 7xz)(1 - r)16 is
The coefficient of x in the expansion of (1
(A) t7 (B) 1e (C) -77 (D) -1e (E) 20
87. The equation of the circle with centre (2,2) which passes through (4,5) is
(A)x' *y' - 4x * 4y -77 - 0 (B)r, *y, -4x - 4y -5 : 0
(C)*'+y'+Zx*Zy - 59:0 (D)x, *y, -Zx-2y -23:a
(E)x'+y'+4x-Zy-26:0
88. T'he point in the xy-planewhich is equidistant frorn (2,,A8),(0,3,2)and (0,0,1)
is
"(C)
(A) (1,2,3) (B) (*3,2,0) (5,-2,s1 (D) (3,2,0) (Et (3,2,1)
Maths-II-B ll2018 22
Page 23
89' r-et f :N ---'; fr;r be such that
f (1)= 2 ancr f (x + y)
numbers.r: and y. If = f (x)71.,1for a, natural
zt=rf (a* /r) = 16(zn* 1), then a is ec1*ar
(A)3 (B)4 (c)s
to
(r))6 (D7
90. If "Gt = 36, oG= 84
and rCr+r
= 1,26,then a =
(A) 3 (B) 4 (C) B (D) e (E) 10
91' l*t f:(-t,t; -+ (-1,1)
be continuous,
/(r) = f @2) for all x e (_1,L) and
.f(o) = J. fn", the value of
4f(_,) ,,
(A) 1 (B) 2 (c) 3 (D) 4 (E) s
92. liftr*,* \nr + l
- \,,?-lJ =
(A) --t (Br 1 (C) 0 (D) 2 (E) +
Space tb..orghioik
Maths-II-B t/2018
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93. ff / is differentiable at x : 1-
,if O + h) - 5, then f '(1) :
and lim7,-
(A) 0 (B) 1 (c) 3 (D) 4 (E) s
94. The maximum value of the function 2x3 - 1.5x2 + 36x * 4 is attaid at
(A) 0 (B) 3 (c) 4 (D) 2 (E) s
9s. If I f @) cos r d.x : ){f f*>}'* c, then f (;) is
(A) c @)1+c (C)c+1 (D)2r + c tl: - - -
96. Irsn/+ x CLx=
,
/ 4. 1*sin x
J T(
(n) z(VZ - t) @; z(VZ + t) Q) zr(tl1 - r)
(tt) zn(tlT + t) (E) +-
' '12+L
Maths-II-B ll2018 24
Page 25
rfr /, 2 sin -r'
97. l ,.
Jg .1
QX :
2s,n^--.I?
(A) 2 (ts) z (q; (D) 2n (E) 0
98.
(c)
l (D) 0
Gj);
99- The area bounded by y
= sinz x ,* _: and x :TTiS
($: (ry; (c) I il
(D)-16 (L:.) 2r
I 'r' -fhe
criffe.cntiar equation of
the famiry of curves y:ex(Acosn*Bsinx),
,,r-here A
and B arearbitr"ary
constants is
\)y" -2y' +2y* 0 (B) y,,
+2y, *2y _ a (C)y"*y''*y=o
D)Y" *2y'*!
=0 (E)y,,*Zy,*Zy _0
I
Space for rorghm
I
i
Maths-II-B t/2}rc
25
llr.T.O.
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101. The real part of (r -./5)" it
(A) z-to (B) 2,, (C) 2-12 (D) -z-t, (E) 2ro
'l-fx-ex
rc2. limr-6 x2
(A); (B)+ (c) 1 (D) -1 (E) 0
103. '1(sinx+co.sx)(2-sin2z)
sin'zx
d.X =
, , sinx+cosx
(A)-+c
^ (B) rirr-.or, + C (L)sln sin r
*c
sin2x sin 2x x+cos x
(D)#+c
' _r-cos.r
sln
(e)+rci+
' 'slnr+cos.r c
104. A plane is at a distance of 5 units from the origin; and perpendicuiar ,- ...-'
vcctor 2t + j + 2f(. 'l'he equation of the plane is
(A)i.(zt+i -zfr):15 (B)i.(zt+ j -fr) = 15
(c)1.(zt+ j +2ft) - 15 (D)i.(i+i +zf<): 15
(E) i. (t, - j + 2f(): L5
Maths-II-B ll20l8 26
Page 27
sin l-sin B
I05 ls equal to
;;"..r,
(.{) sin
ff) (13)2tan(,4+B) (c) cot (T)
(D)tan(T) (E)2cot(A+B)
1 06. Il x *.,{ cos 4.t + B sin 4f, tben t4
=
(A) r (B) *16x (C) 15r (D) 16x ftj) *15x
lA7. -l'he arithnretic mean of nCo, rG, rCz,
..., nC, IS
(A) 4 (B) 1
-TL
n+1 n
(c)'"-'
" n+l (D)tn
(u):-
n
111*7
I 08. 'l'he variance of first 20 natural nurnbers
is
(A)Y G) 12 (C)T (D)T
72
0r) T
Space tor rough work
Maths-II-B 1t20tg
27
fP'f.o.
Page 28
109. If S is a set with 1"0 elements and A : t(x,!);x,y € S,x + yj, then the
number of elernents in / is
(A) 100 (B) e0 (c) B0 (D) rsO (E) 4s
I10. A coin is tossed and a die is rolled. The probability that the coin shori s iread
and the die shows 3 is
(A): (u); (C); (D)
# (tr)1
' 11
/0 1
11 1. rc t:(1 2 3), ,l., the surn of all the diagonal entries of ,z{-i is
\3 1 1/
(A) 2 (B) 3 (c) -3 (D) -4 (E) 4
3
1,12. Let f (x) -
are
h
x
6 il" x - -9 is a root of f (x): 0, then the othcr roor-<
(A) 2 andT (B) 3 and 6 (C) 7 and 3 (D) 6 and} (E) 6 andl
Maths-II-B 112018 28
Page 29
,13. rrrl x,, 'tlil:o,thenxcanbe
[,i :
(A) -2 (B) 2 (c) 14 (D) _14 (E) 0
rr{. rct:l2* l] ,"0n-,=l!, l),rn"n*-
(^) z 1e); (c) 1 (D) 3 (E) o
lx 2 xl
115. If lxz x 6l= o*n+bx3 *cxz *dx*e,thcn Sa.*4b+3cIZrt*eis
l* x 6l
cqual to
(A) 11 (B) -1L (C) 12 (D) _12 (E) 13
{t
-\.1 :....-ii-IJ. ,L\
29 lP.r.o.
Page 30
11 a b*cl'
116.
ll i ;I,l:
(A) 1 (B) 0 (C) (1 - a)(r - bX1 - c)
(D)a+b+c (F,)2(a+b+c)
r1 1 1l
tt7. If f(x) :l 2x x-t x l, th., f(so) -
l:r(, - r) (x-1)(x-z) x@-Dl
(A) 0 (B) 2 (c) 4 (D) 1 G)r
l- cos x 1-cosx I
' =
ll8. If A(x) - 1-*sinx cosx 1 t sin x - cos xl, tltcrr
sin x sin r rl
.. -7 (B): 1
(A) ,2 (c) 1 (D) -1 (E) 0
-2
I
I
I
Maths-II-B 112018 30
Page 31
It9- '['he cquation of the plane passing through the points (1,2,3),(_\,4,2) and
(3,1,1) is
(A) 5x *y*tZz-23 _0 (B)Sx +6y*22 _23
(C)x+6y*22=!3 (D)x *y*z _73
(E)2x+6y*52=T
120' In an arithrnetic progression, if the kth terrn is 5k * 1, then the sum of first
I 00
temrs is
(A) s0(s07) (B) s1(s06) (c) s0(s06) (D) s1(s07)
(rr) sz(s06)
Maths-ll-B 1l20lg 3l fP.T'.O.
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Maths-II-B 1,2018 32