then (a,b)- 1) 2) 2π 4) 4 3)

The angle between two vectors vec(a) and vec(b) with magnitudes sqrt(3) and 4, respectively and vec(a). vec(b) = 2 sqrt(3) is: a) 2π/3 b) π/2 c) π/3 d) π/6

int_(0)^(pi//2)(sin^(4)x)/(sin^(4)x + cos^(4)x)dx= (a) π (b) π/4 (c) 0 (d) π/2

The angle between the vectors hat(i) - hat(j) and hat(j) - hat(k) is a) -π/3 b) 2π/3 c) π/6 d) 5π/6

If A= [[1,2],[3,4]] , adjA= [[4,a],[-3,b]] , then the values of a and b are: (a) a=-2, b=1 (b) a=2, b= 4 (c) a=2, b=-1 (d) a=1, b=-2

int_(0)^(pi//2) sin 2x log (tan x) dx is equal to a) π b) π/2 c) 0 d) 2π

Evaluate : int_(0)^(pi) (dx)/(5+4cosx) . a) π b) π/2 c) π/3 d) π/4

13 . sec 2 ( θ − α ) 1 2 cos e c 2 θ sec 2 ( θ + α ) a r e ∈ H . P . t h e n : A ) −π/4 < α < π/4 B ) −π/2 < α < π/2 C ) 3π/4 < α < 5π/4 D ) 5π/4 < α < 7π/4

The angular speed of a motor wheel is increased from 1200 rpm to 3120 rpm in 16 seconds. The angular acceleration of the motor wheel is a) 2 π rads−2 b) 4 π rads−2 c) 6 π rads−2 d) 8 π rads−2

A conducting circular loop is placed in a uniform magnetic field 0.04T with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at 2mm//sec . The induced emf in the loop when the radius is 2cm is: (1.) 3.2 π μ V (2.) 4.8 π μ V (3.) 0.8 π μ V (4.) 1.6 π μ V

1) If A=[(1,2),(3,4)] , AdjA=[(4,a),(-3,b)] then the values of a and b are ..... a) a=-2, b=1 b) a=2, b=4 c)a=2, b=-1 d) a=1, b=-2