Model Question Paper Mathematics Class Xii Worksheet Page 3

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1
1
x
e
dx
11.
is equal to
2
x
x
x
x
e
e
+
+
(A)
C
(B)
C
2
2
x
x
x
x
e
e
(C)
(D)
2
x
x
12.
Area bounded by the curve y = sinx between x = 0 and x = 2π is
(A) 2sq. units
(B) 4 sq. units
(C) 8sq. units
(D) 16sq. units
dy
+
=
x y
13.
The general solution of the differential equation
is
e
dx
x
–y
x
y
(A) e
+ e
= C
(B) e
+ e
= C
–x
y
–x
–y
(C) e
+ e
= C
(D) e
+ e
= C
dy
− =
2
14.
The integrating factor of the differential equation
x
y
2
x
is
dx
–x
–y
(A) e
(B) e
1
(C)
(D) x
x
+ α
ˆ j
ˆ j
15.
The vector 2
+
is perpendicular to the vector 2
if
ˆ k
ˆ k
ˆ i
ˆ i
(A) α = 5
(B) α = – 5
(C) α = – 3
(D) α = 3
r
r
r
=
+
ˆ
=
+
ˆ
16.
If
ˆ
ˆ
and
ˆ
ˆ
, then a unit vector perpendicular to both
and
u
2
i
2 –
j k
v
6 – 3
i
j
2
k
u
r
is
v
1
1
18 ˆ
ˆ
ˆ
ˆ
i
– 2 –
j
k
(A)
ˆ
ˆ
(B)
i
–10 –18
j
k
5
5
17
(
)
(
)
1
1
ˆ
ˆ
ˆ
ˆ
ˆ
ˆ
7 –10 –18
i
j
k
i
–10 –18
j
k
(C)
(D)
473
425

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