Complex Numbers and Quadratic Equations-Locus and Location of Roots [JEE (Based on NTA Guidelines-IIT Engg.) Mains Mathematics]: Questions 1 - 5 of 5
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Question 1
Appeared in Year: 1989
Question MCQ▾
Let be real number. If α is a root of . If is a root of and , then the equation has a root that always satisfies
Choices
Choice (4) | Response | |
---|---|---|
a. | ||
b. | ||
c. | ||
d. |
Question 2
Question MCQ▾
If and then lies on________
Choices
Choice (4) | Response | |
---|---|---|
a. | A straight line | |
b. | An ellipse | |
c. | Circle | |
d. | Parabola |
Question 3
Question MCQ▾
If is complex number. Then the locus of the point satisfying is a________
Choices
Choice (4) | Response | |
---|---|---|
a. | Circle with center and radius | |
b. | Circle with center and radius | |
c. | Circle with center and radius | |
d. | Circle with center and radius |
Question 4
Question MCQ▾
If the imaginary part of is then the locus of the point representing in the complex plane is
Choices
Choice (4) | Response | |
---|---|---|
a. | An ellipse | |
b. | A straight line | |
c. | A parabola | |
d. | A circle |