CircleMedium
Question
A particle P starts from the point z0 = 1 + 2i, where i = √-1 . It moves first horizontally away from origin by 5 units and then vertically away from origin by 3 units to reach a point z1. From z1 the particle moves √2 units in the direction of the vector 
and then it moves through an angle 
in anticlockwise direction on a circle with centre at origin, to reach a point z2. The point z2 is given by
and then it moves through an angle in anticlockwise direction on a circle with centre at origin, to reach a point z2. The point z2 is given byOptions
A.6 + 7i
B.- 7 + 6i
C.7 + 6i
D.- 6 + 7i
Solution
z0 ≡ (1 + 2i)
z1 ≡ (6 + 5i)
z2 ≡ (-6 + 7i).
z1 ≡ (6 + 5i)
z2 ≡ (-6 + 7i).
Create a free account to view solution
View Solution FreeMore Circle Questions
The parametric coordinates of any point on the circle x2 + y2 − 4x − 4y = 0 are-...In a right triangle $ABC$, right angled at $A$, on the leg $AC$ as diameter, a semicircle is described. The chord joinin...Consider the hyperbola 3x2 - y2 - 24x + 4y - 4 = 0 -...If a line having $y$-intercept ' $c$ ' makes a chord of length ' $a$ ' to the circle $x^{2} + y^{2} = a^{2}$, then:...The circle described on the line joining the points (0, 1), (a, b) as diameter cuts the x-axis in points whose abscissa ...