The line joining the origin and the point represented by z=1+i is rotated through an angle in an anticlockwise direction about the origin and stretched by additional
units. The new position of the point is
As we have leart,
Rotation Theorem (Coni Method)
Three points A, B and C in the argand plane whose affixes are z1, z2 and z3 respectively.
Let suppose we want to rotate AB to AC.
Note: Final vector should be in numberator and starting vector in denominator. is positive if rotation is anti-clockwise and negative if it is clockwise.
Now,
Let initial point be A (1 + i), O be origin (0+0i), and B(z) be the final point
|AO| =
And length of OB is more than |AO|, so |BO| =
Now using Rotation Theorem
Correct option is (a)
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