If `(1-i)x+(1+i)y=1-3i`, then `(x,y)` is equal to
(a)` (2,-1)`
(b) `(-2,1)`
(c)`(-2,-1)`
(d) `(2,1)`

If x+ iy=(1+ 4i)(1+5i) , then (x^(2)+y^(2)) is equal to :

If x+iy=(1+i)(1+2i)(1+3i) , then x^(2)+y^(2) equals:

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

If ((1+i)/(1-i))^(2)=x+iy, find x+y

If ((a^(2)+1)^(2))/(2a-i)=x=iy, then x^(2)+y^(2) is equal to ((a^(2)+1)^(4))/(4a^(2)+1) b.((a+1)^(2))/(4a^(2)+1) c.((a^(2)-1)^(2))/((4a^(2)-1)^(2)) d.none of these

If x=at^(2),y=2at, then (d^(2)y)/(dx^(2)) is equal to ( a )-(1)/(t^(2))( b) (1)/(2at^(2))(c)-(1)/(t^(3)) (d) (1)/(2at^(3))