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.

Edit

Question 2

Question MCQ▾

If and then lies on________

Choices

Choice (4)Response

a.

A straight line

b.

An ellipse

c.

Circle

d.

Parabola

Edit

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

Edit

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

Edit

Question 5

Question MCQ▾

If is a complex number satisfying then lies on

Choices

Choice (4)Response

a.

b.

c.

d.

Edit