1
GATE IN 2005
MCQ (Single Correct Answer)
+1
-0.3
Consider the circle $$\left| {z\, - 5\, - 5i} \right|\, = \,2$$ in the complex number plane (x, y) with z = x + iy. The minimum distance from the origin to the circle is
A
$$5\sqrt 2 - 2$$
B
$$\sqrt {54} $$
C
$$\sqrt {34} $$
D
$$5\sqrt 2 $$
2
GATE IN 2005
MCQ (Single Correct Answer)
+1
-0.3
Let $${z^3}\, = \,\overline z $$, where z is a complex number not equal to zero. Then z is a solution of
A
$${z^2} = 1$$
B
$${z^3} = 1$$
C
$${z^4} = 1$$
D
$${z^9} = 1$$
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