Io
2.
3.
4.
5.
6.
7.
8.
\rra ? I/-
(ilz
rD (ITYISIIJIE UJ U UIreIl feIIIaLIl(Igf
(b)0
lS
(c)
-1 OR 1
(d)
1
I.c.m. (L44, 610) =
(a) L44
(b) 610
(c) 1
(d) 43e20
The product of zeros of polynomial x2 - 4x + S = 0 is ___
.
(a) 1
(b) 3
(c) 4
(d) -4
One factor of xs + 6x2 + l1x + k is x + 3 then k =
(a) 3
(b) 6
(c) 2
(d) 4
5x2 + 6x + 3 is divisible by * + 3 then remainder will be _--.
(a) 0
(b) -30
(c) 30
(d) 1
If 2x + 3y= 7 and 3x + 2y = 3 thenx-y =
(b) *4
@)4
k)2
G) -2
(2012, -2011) lies in
quadrant.
(a) First
(b) Second
(c) Third
(d) Fourth
Mcde,,tPole
{
Y Years ageo, the age of Bhagvati is X year, then after Z year the age of Bhagvati
is
(a)x-y+z
--.
(b)x+y+z
_ 5 7 L7. 7 5 19 then 22
9.
=
-+-+- =
-+l
xyxyxy
(a)
10.
11.
L2.
(b)
3
One root of x2
(c)y-x+z
(d)x-y-z
(c)
(d)
=
5
6
8
4x + a = 0 is 2 then a =
(b) 2
(c) -4
b) -2
(d) 4
The discriminant of a2x2 + b2x + c2 = 0 is
(a) D =.b2-Aac (b) D2 =b2-4ac (c) D = b4
-4a2c2 (d) D = b4 +
The roots of ax2 + bx + c = 0 are equal then real root is
b
(a) __
2a
-
ft)#
- (d) 3
b
13. The discreminant of the equation J-S*, - 2Ji* - 2J5 = 0 is
(b) 48
6) ali
(d) 32
k) 2J-3
L4. The difference between two roots of equation ax2 + bx + c = 0 is _
(a)
D
--a
ft)€a
(c)
t)
-a
(d)
15. The roots of quadratic equation x2 + 18x = 0 are
(a)
16.
inverse
(b) opposite
One root of x2 + 6x +
@) 20
(c)
k = 0 is 4 then k
(b) 40
fraction
(d) equal
=
(c) -40
rB
(d)
I
4a2c2
)
17. Roots of x2 + 5x + 6 = 0 are u, B then a2+P2
(a) 37
(b) 13
(c) 25
\
18.
L9.
20.
(n>2)
For A.P. S,, - 2Sn-1 + Sr,-2 =
(a) 2d
(b) d
9+19+29+...+99 =
(a) 460
(b) 450
In A.P. Tz = 12, T11 - 28 then
(a) 16
(b) 4
21. In AABC, B-M-C and A-N-C,
(a)
(b)
L2
22. For AXYZ, AMNO
Iarity.
(a) NMO
(d) None
(d)a+d
(c) a
(c) 540
common difference d is
(c) 5
MN
ll
(d)
3
AB. If NC:NA = 1:3 and CM = 4 then BC
(c)
16
(d) 455
(d)
B
*
then correspondence Xltz<-+
#=#=#
is simi-
(b) MoN
(c) NOM
(d) MNO
23. For AABC - ARQP mZP : mZQ: m/.R = 1:3:5 then mZ_A: mlB : mlC =
(a) 1:3:5
(b) 5:3:1
(c) 3:5:1
(d) None
24. In AABC,AB2 + AC2 = 50 arid length of N{edian AD = 3 then BC =
(a) 4
(c) 8
(d) 16
$) 24
25. In AABC, mZB = 90 and BM is an altitude on hpotenuse Ae . If AM = 4.b and
-
MC=SthenBM=
6)4
26.
9
(b)
l)istance between A(x1,
(c)
6
G is the centroid of APQR.
(a)
27.
(b)
If GM =
(d) 10
8
5 then QM =
(c)
15
L2
where AM is a median.
(d)
18
y1), B(x2, yz) is
f"l
f.l
28. If P(1, 2), Q(3, 4), R(2, 1) then
(3 :l\
(b) (3, 4)
@ \z' z)
rb)
,
/(xr * xz)' - (y, + yz)2
(d) J(", - y, )' + (*z -
y
,)'
circumcentre of APQR is
(c)
(5 5\
\r'z)
(d) (2, 4)
29. The y coordinate is twice the x*coordinate of the midpoint of line segment joining
by A(m, 5) and R(2, 7) then m(a) 3
(b) 4
(c) "5
(d) 6
30. F'ind the coordinates of point which divides the line segment joining A(xr, yr), an6
IJ(xz, Yz) in the ratio m:n from A.
(b)
(mxz+myr, Tyr +nyr')
\ m+n
*t*r,
(d) f**,
\ m-n
m+n
)
mYz +nYr')
m-n
)
4
31. If tan0
(a)
32.
then
3
1
E
(c)
(b) 2
(c)
3
(d)
Z
I
G
cos" 0
cosec4So
=
(a)
secO
then
3
5
(c) 38'
than value of tan0 +
4
g
(d) None
1
0
(b) 48'
42"
34. If sin0 =
(d) 28"
cosecO =
c)
@#
(c)
d
(d)
={)
*
If the angles of elevation of a tower from two points distance a and b (a > b). !'rom
its foot on the same side of the tower have measure 30 and 60, then the height
of the tower is
(a).ffi
36.
(b) 3
o-
co.2 o
b)
35.
1+sine
sin2 e
(a) 0
33.
1-sin0
ft) Gb
(c)
,[--6
(d)
a
b
The angle of elevation of the base of the temple from the top of building has
measure 60 and the angle of elevation of the base of the buitding from the top of
temple is 60 then
(a) Temple if taller than building (b) Building is taller than temple
(c) Temple and building are equatly tall
(d) Cannot be determined
37. The height of building is h and the length of
elevation of the sun has measure is 45o then
(a)x=h
ft)x-Zirr
its shadow is x. If the angle of
(c)2x=h
38. How many circle passes ihrough
(d) h =
"frx
three non collinear point ?
(a) one
(b) two
(c) three
(d) four
39. In O(P, 17), the lengthof two parallel chords is 16 and 30. If these two chords one
side of centre then the distance between two chord is
(a) 5
(b) 7
(c) I
(d) 12
40. oA and oB are the two mutually perpendicular radii of a circle having radius
9 cm. The area of the minor sector corresponding to zAoB is
(n - 3.14)
(a) 63.575
(b) 63.585
(c) 63.595
(d) 63.60
41. OA and 0E are the two mutually perpendicular radii of a circle having radius
-.
7 then length of minor arc is
(a) 11
(c) 7
b) 22
(d) None of these
42.
--.
From the {igure, major segment is
(a)
AtsUM
(b)ARUT@
(c)
fPBuOeuos
(d)
-.
fl@uoauOn
43. The length of minute hand of a clock is 10 cm. Find the area of the sector.'Fttirnettby'the present' position and the position after five minute of the minute hand. (n
= 3.14)
!
(b) L57
(a) 157
6
44. If volume of sphere
45.
46.
47.
(a) 0.5
1 litre =
(a) 1000
(c) 27
4
grc cm3 then
(b)
1
(d) None of these
u
its diameter
is
1
(c)2
(d) 2.5
10,000
(c) 100
(d)
cm3.
(b)
10
The surface area of cylinder is 132 sq.m. and radius is 7 m then height of cylinder
is
(a) 3
(b) 4
(c) 5
(d) 6
'Ihe surface area and radius of sphere and cone is equal, then the slant height of
cone is _
times its radius.
(a) half
(b) twice
(c) thrice
(d) fourth times
48. If x -z= 3andr.+z-45 thenMlMarch 2013I
(.a) 24
(c) 26
(d) 23
b) 22
49. The mean for data is E. If in every observation multiply by m and n added to each
observation then new mean
(a)mn+f
(Dl nx + m
/t
50.
F'or ungrouped data,
/\ nx
(c)
\
l5
I
- bx=
*t
36 then
-m
(d)mE+n
f
:_1
t- f
(a)
(b)
2
k)4
3
(d)
5
Dtrtr
rimc
'2J9ry1_
Instructions : As per Question Paper-l
*
fTotal Marks : 50
STSIIOT{:A
Answer the following questions in short answer questions z (2 marks
each)
16
1. Find square root : 2 + J3
2. -4 and 9 are the sum and product of the zeros respectivelyof a quadratic
.
polynomial. Find the quadratic polynomial.
3.
Solve by cross multiplication method
:
0.3x + 0.4y = 2.5, 0.5x - 0.3y = 0.3
Find the 10th term from end for A.P. 3, 6, 9, ... 300. OR
In A.P. Tz = 18, T1s = 7 then Find Tror.
4.
4.
5. In Rhombus XYZW. XY = 14 and YW = 48. Find XY.
6. l'ind the ratio in which X*axis devides the segment joining A(3, -2) and 8(-6, 4)
7.
7
from B.
If in AABC,
mlB -
90, AB = 3, AC = 6 then. Find mZC, mZA, BC. OR
1- tan2 A
. If BcotA = 4 then verif
Y
Lffi
=
cos2A
- sinzA.
8.
The distribution below shows the number of wickets taken by a bowlder irt one day
cricket matches. Find the mean number of wickets.
Number of wickets
Number of bowlers
20-60
60-100
100-150
150-250
250-350
350*450
7
5
16
L2
2
3
sE__c_TtQN=B
+
9.
Solve the following : (3 marks each)
tz
pen
While selling a
for Rs. 24 the loss in percentage is equal to its cost price. Find
the cost price of pen. The cost price of pen is less than Rs. 50.
10. A dice is thrown once. Find the probability of getting (i) a prime number (ii) a
number lying between 2 and 5 and (iii) an even number.
11. Find the mode of the following frequency distribution.
CIass
0-15
15-30
30-45
45-60
60-75
75-90
90-105
Frequency
I
16
23
57
33
23
13
OR
'Ihe
11.
median of 230 observation of the follorving frequency distribution is 46. !'ind
a and b.
Class
10-20
20-30
30-40
40-50
50-60
60-70
70-80
Frequency
L2
30
a
65
b
25
18
\2. A bridge across a valley is h metres long. There is a temple in the valley directly
below the bridge. The anlge of depression of the top of the temple from the tu,o
ends of the bridge have measures u and B. Prove that the height of the bridge
above the top of the temple is
h . (tan
cr . tan S)
tanu + tan$
SErCTION.C
*
13.
Solve the following : (4 marks each)
ABCD is a square of side 20 cm.
Find the area of blue coloured
region formed by the semi circles
drawn on each side as shown in
12
figure.
14.
A metallic sphere of radius 3.6 cm is melted and a wire of diameter 0.4 cm of
uniform cross-section is drawn from it. Find the length of the wire. OR
14. How many spherical balls of diameter 0.5 cm. can be cast by melting a metal cone
with radius 6 cm and height 14 cm.
15. P is the point in the exterior of O(O, r) and the tangents from P to the circle touch
the circle at X, Y (i) if r = 12, XP = 5 then find OP (ii) mZXOY = 110 then find
mZXPO.
t?.
16.
SECTION.D
(5
Solve the following :
marks each)
10
Draw F0 of length 6.5 cm and divide it in the ratio 4:7 write the steps of
construction.
17. Prove that in AABC, BC2 = AB2 + ACz then zA ts a right angle. oR
17. In the plane of APQR, a line ll IQR and / intersect. PQ and E at points A and
PA PB
B then prove that
Aa = BR
ntrn
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