Model Question Paper Mathematics Class Xii Worksheet Page 2
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1
2
3
4
5
6
71
(C)
(D) 1
4
4.
The number of all possible matrices of order 3 × 3 with each entry 0 or 1 is
(A) 27
(B) 18
(C) 81
(D) 512
5.
Let A be a square matrix of order 3 × 3, then
is equal to
k
A
2
(A)
(B)
k
A
k
A
3
(C)
(D)
3 A
k
k
A
+
≤
⎧
1
x
, when
x
2
= ⎨
f x
( )
6.
If
, then
≤
⎩
5 – , when
x
x
3
(A) f is continuous at x = 2
(B) f is discontinuous at x = 2
(C) f is continuous at x = 3
(D) f is continuous at x = 3 and discontinu-
ous at x=2
d
7.
(log tan )
x
is equal to
dx
(A) 2 sec 2x
(B) 2 cosec 2 x
(C) sec 2 x
(D) cosec 2x
8.
The rate of change of the area of a circle with respect to its radius r when r = 6 is
(A) 10 π
(B) 12 π
(C) 8 π
(D) 11 π
2
–x
9.
The interval in which y = x
e
is increasing is
(A) (– ∞, ∞)
(B) (–2, 0)
(C) (2, ∞)
(D) (0, 2)
∫
2
10.
is equal to
x
sec
x dx
2
2
(A) tanx
+ C
(B) tan
x + C
(C) x tanx – log sin x
(D) x tanx + log cos x + C
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