If `W_1: W_2=2:3\ a n d\ W_1: W_3=1:2\ t h e\ W_2: W_3` is `3:4` b. `4:3` c. `2:3` d. `4:5`

If W_(1) :W_(2) = 2 : 3 and W_(1) : W_(3) = 1 : 2 then W_(2) : W_(3) is

If i_(1)=3 sin omega t and (i_2) = 4 cos omega t, then (i_3) is

If W : 0. 80 :: 9 : 6, W = ? A. 2.5 B. 1.1 C. 3.3 D . 1.2

Which of the following can be the valid assignment of probability for outcomes of sample space, S = {W_(1), W_(2), W_(3)}, {" where " W_(1), W_(2) " and " W_(3) are mutually exclusive events Assignment {:(,w_(1),w_(2),w_(3)),((a),0.4,0.2,0.8),((b),0,0,1),((c),-1/2,3/4,1/2),((d),1/2,1/2,1/4):}

Evaluate : ( 1 - 3w + w^2 ) ( 1 + w - 3w^2 )

A 100 W bulb B_1 , and two 60 W bulb B_2 and B_3 , are connected to a 250 V source, as shown in figure. Now W_1, W_2 and W_3 are the output powers of the bulbs B_1, B_2 and B_3 , respectively. Then

Which of the following cannot be valid assignment of probability for elementary events or outcomes of samples space S={w_1, w_2, w_3, w_4, w_5, w_6, w_7}: Elementary events w_1 w_2 w_3 w_4 w_5 w_6 w_7 i. 0.1 0.01 0.05 0.03 0.01 0.2 0.6 ii. 1/7 1/7 1/7 1/7 1/7 1/7 1/7 iii. 0.7 0.6 0.5 0.4 0.3 0.2 0.1 iv. 1/(14) 2/(14) 3/(14) 4/(14) 5/(14) 6/(14) (15)/(14)

A 100 W bulb B_1 , and two 60 W bulbs B_2 and B_3 are connected to a 250 V source as shown in the figure. Now W_1,W_2 and W_3 are the output powers of the bulbs B_1, B_2 and B_3 respectively. Then

If w is a complex cube root of unity, then value of =|a_1+b_1w a_1w^2+b_1c_1+b_1 w a_2+b_2w a_2w^2+b_2c_2+b_2 w a_3+b_3w a_3w^2+b_3c_3+b_3 w | is a. 0 b. -1 c. 2 d. none of these