1. (b) a (c) 1+ Let a be root of the equation 1 + x + x4 = 0. Then the value of a 1011+ a2022 - 3033 is equal to: (a) 1 (d) 1+ 2 Let arg(z) represent the principal argument of the complex number z. Then |z|=3 and art(z - 2. 1) - arg(z+1) = 4 intersect (a) exactly at one point (c) nowhere (b) exactly at two points (d) at infinitely many points. 2 -1 3. Let A= 02 of the matrix B is (a)-5 If B=1-5C (adjA)+5C (adjA) -... C (adjA), then the sum of all elements (c)-7 (b) -6 (d) -8 4. The sum of the infinite series 1+=+ 5 12 22 35 51 70 + + + +.... is equal to: 6 62 63 64 65 66 (a) 425 216 (b) 429 (x1)sin(x) 288 280 (c) (d) 216 125 125 5. The value of lim- is equal to: x+1 x -2x+2x-1 (a) (b) (c) ksha (d) 6 3 2