SRM University 2007 B.Tech MODEL - Question Paper

67. Which of the subsequent is not true?
(a) z = z,
(b) z + z = two Re (z),
(c) z - z = two Im(z),
(d) Im(z) =| z | .
68. cos(A+B) cos (A-B) =
(a) sin2A – sin2B
(b) sin2A – cos2B
(c) cos2A – sin2B
(d) cos2A – cos2B
69. The value of tan230° + 2sin245° + 1/3 sin2 60° is
(a) 15/12
(b) 17/12
(c) 19/12
(d) 21/12
70. In a ?ABC, =
(a) a + b
c
(b) a2 + b2
c2
(c) a2 - b2
c2
(d) a2 - b2
c
71. The value of is
(a) 0
(b) 52
(c) 53
(d) 59
72. If ? = then is
(a) 6?
(b) - 6?
(c) 8?
(d) - 8?
sin(A - B)
sin(A + B)
52 53 54
53 54 55
54 55 56
1 seven -2
-1 -8 4
2 three -5
3 -3 6
-7 eight -3
-4 eight -10
73. The formula = 0 has the solution
(a) x = -1, -2, -3,
(b) x = -2, -3, -4
(c) x = 0, -1, + i
(d) x = 0, 1, 2
74. The value of , i2 = 1, is
(a) 1
(b) 2
(c) 3
(d) 4
75. If the matrices and are singular then mn =
(a) 2
(b) -2
(c) one / 2
(d) -1 / 2
76. The inverse of the matrix is
(a)
(b)
(c)
(d) one 1 -1
8 -3 5
77. If 1 of the e roots of x2 + ax + b is three - i v two and a and b are real, then the values
of a and b are
(a) - six and 7
(b) - six and 11
(c) six and - 7
(d) six and –11
78. The roots of 6x2 – x -15 = 0 are
(a) 5/3, 3.2
(b) -5/3,3/2
2x 0 0
x + two x + one 0
x + three x + four x2 + 1
1 + 2i one – I
1+ i one – 2i
-1 two 4
m 0 -2
1 n 0
0 three 2n
4 -1 6
2 0 1
5 –1
3 1
1 one 1
8 three 5
1 -1 1
8 three -5
1 one 1
8 -3 5
(c) 5/3, -3/2
(d) -5/3, -3/2
79. If p and q be the roots of 3x2 –x – five = 0, then p+q and pq are
(a) 1/3,5/3
(b) -1/3,5/3

Earning:   Approval pending.