The complex number z = x + iy satisfies the condition ∣ z + 1 ∣ = 1, then z lies on
In Class 11th, Chapter 4 of the NCERT Maths book focuses on Complex Numbers and Quadratic Equations. This chapter starts by introducing complex numbers, which are numbers that include both real and imaginary parts. Students learn how to perform various operations on complex numbers, such as addition, subtraction, multiplication, and division. The chapter also covers the geometric representation of these numbers, as well as their modulus and argument. Quadratic equations are explored with different solving techniques, including factoring, completing the square, and applying the quadratic formula. Finally, the chapter delves into the nature of roots and discriminants.
Choices (d) is correct.
Given ∣ z + 1 ∣ = 1 ⇒ ∣ z -(- 1 + 0i ∣ = 1
⇒ The distance of the point z from the point (-1, 0) is constant and is equal to 1.
Thus, z lies on a circle with centre (-1, 0) and radius 1.
This question related to Chapter 4 maths Class 11th NCERT. From the Chapter 4: Complex Numbers and Quadratic Equations. Give answer according to your understanding.
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