Answer: Ellipse.
- A Circle
- B Ellipse
- C Parabola
- D Hyperbola
Correct answer: B. Ellipse
Explanation: |z-1| + |z+1| = sum of distances from (x,y) to (1,0) and (-1,0) = 4 (constant). This is an ellipse with foci at (pm1, 0).
A complex number z = a+ib is plotted as a point (or vector from the origin) on the Argand plane, with the real part along the horizontal axis and the imaginary part along the vertical; its modulus |z| is the vector's length, and its argument θ is the angle from the positive real axis.
Concept context
Complex numbers in a+ib form, modulus, argument, polar form, cube roots of unity, and quadratic equations with complex roots
Read the full Complex Numbers and Quadratic Equations notes →