Which of the following are equal in value? I. `4^1` II. `1^4` III. `4^0` IV. `0^4` a. `I\ a n d\ I I` b. `I I\ a n d\ I I I` c. `I I I\ a n d\ I V` d. `I\ a n d\ I V`

Given n=1+x and x is product of four consecutive integers. Then which of the following is true? I n is an odd integer II. n is prime. III. n is a perfect square. Only I is correct (b) Only III is correct (c) Both I and II are correct (d) Both I and III are correct

Write the following in Hindu Arabic numerals: (i)DCXCVII (ii) KCIX (iii) KKKCDVI (iv) """C K X X I" (V) "X I" D C C(vi) D X I I"

If a=1+i, then a^(2) equals 1-i b.2i .(1+i)(1-i) d.(i-1)

Evaluate (i^(4n+1) - i^(4n-1)) .

Write the value of |a+i b c+i d-c+i d a-i b| .

Find the value of ( i^2 + i^4 + i^6 + i^7 ) / ( 1 + i^2 + i^3 ) is ( a ) 1 - i ( b ) 1 + i ( c ) 2 - i ( d ) 2 + i

"If A" = [{:(1, 2), (1, 3):}] , then find A^(-1) + A . (a) I (b) 2I (c) 3I (d) 4I

If A^(2)-A+ I =0 then the inverse of A is - (a) I-A (b) A-I (c) A (d) A+I

If A = 1/ sqrt(3) [[1,1+i],[1-i,1]] then A(bar(A)^T) equals : a. O b. I c. -I d. 2I