Time : 3 hours
02  Mathematics 
July
2006
Marks : 100
Pg 
1
Instructions :
1.
Answer
all
questions.
2.
Write
your
answers
according
to
the
instructions
given
below
with
the
questions.
3.
Begin
each
section
on
a
new
page.
S E CT I O N

A
•
Given
below
are
1
to
15
multiple
choice
questions.
Each
carries
one
mark.
Write
the
serial
number
( a
or
b
or
c
or
d )
in
your
answer
book
of
the
alternative
which
you
feel
is
the
correct
answer
of
the
question.
1.
d [ (
l
7
l
,

8 ),
(
l

7
l
,

3 ) ]
=
?
( a )

5
( b )
11
( c )
5
( d )

11
2.
The
Cartesian
equation
of
the
line
passing
through
( 5,
6 )
and
(

3,
6 )
is
…
( a )
y

6
=
0
( b )
y
+
6
=
0
( c )
x

5
=
0
( d )
x
+
3
=
0
3.
The
equation
of
the
circle
touching
the
y

axis
and
having
its
centre
at
( 3,

4 )
is
…
4.
The
end
points
of
the
latus

rectum
for
parabola
x
2
=

6y
are
⎞
⎜
⎝
⎛
±
2
3
3,

⎞
⎜
⎝
⎛
3
,
2
3

⎞
⎜
⎝
⎛
3
,
2
3


⎞
⎜
⎝
⎛
±
2
3
3,
5.
Measure
of
the
angle
between
asymptotes
of
4x
2

y
2
=
9
is
…
⎞
⎜
⎝
⎛
3
4
tan
1


⎞
⎜
⎝
⎛
π
3
4
tan
1


π
⎞
⎜
⎝
⎛
3
4
tan
1

6.
Which
is
a
unit
vector ?
( a )
( cos
α
,
2sin
α
)
( b )
(sin
α
,
cos
α
)
( c )
( 1,

1 )
( d )
(2cos
α
,
sin
α
)
7.
x
=
( 1,

1 )
and
y
=
( 1,
0 ),
then
cos
x
^
y
=
2
1
8.
Measure
of
the
angle
between
x
+
2y
+
z
=
1
and
r
=
( 0,
0,
0 )
+
k ( 2,
1,

1 ),
k
∈
R
is
π
π
π
π
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