The point represented by the complex number `(2 - i)` is rotated about origin through an angle` (pi)/(2)` in the clockwise direction, the new position of point is (A) 1+2i (B) -1-2i (C) 2+i (D) -1+2iA. `1 +2i`B. `- 1- 2i`C. `2 + i`D. `- 1 + 2i`

The point represented by the complex number `(2 - i)` is rotated about

1.	The point represented by the complex number `(2 - i)` is rotated about origin through an angle` (pi)/(2)` in the clockwise direction, the new position of point is (A) 1+2i (B) -1-2i (C) 2+i (D) -1+2iA. `1 +2i`B. `- 1- 2i`C. `2 + i`D. `- 1 + 2i`
Answer» Correct Answer - B Givne that, `z = 2 - i` It is rotated about origin through an angle `(pi)/(2)` in the clockwise direction `:. "Now Position" = ze^(-ipi//2) = (2 - i )e^(-ipi//2)` `=(2 -i)["cos"((-pi)/(2))+ isin((-pi)/(2))] = (2 -i) [0 -i]` `= - 2i - 1 = -1 - 2i` .