Straight LineHard
Question
If ω = 
and |ω| = 1, then z lies on
and |ω| = 1, then z lies onOptions
A.an ellipse
B.a circle
C.a straight line
D.a parabola.
Solution
As given w = 
⇒ |w| = 
= 1 ⇒ distance of z from origin and point 
is same hence z lies on bisector of the line joining points (0, 0) and (0, 1/3).
Hence z lies on a straight line.
⇒ |w| = = 1 ⇒ distance of z from origin and point is same hence z lies on bisector of the line joining points (0, 0) and (0, 1/3).Hence z lies on a straight line.
Create a free account to view solution
View Solution FreeMore Straight Line Questions
If the points (1, 3) and (5, 1) are two opposite vertices of a rectangle and the other two vertices lie on the line y = ...The equation of straight line passing through the point of intersection of the lines x − y + 1 = 0 and 3x + y W...If the lines ax + by + c = 0, bx + cy + a = 0 and cx + ay + b = 0 be concurrent, then -...The nature of straight lines represented by the equation 4x2 + 12xy + 9y2 = 0 is -...If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0, cx + 4y + 1 = 0 are concurrent, then a, b, c are in -...