# Complex Numbers and Quadratic Equations (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SB-SX (Class 12 & 1st Year B.Sc.) Math): Questions 1 - 4 of 4

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## Question number: 1

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2010

MCQ▾

### Question

The roots of are –

### Choices

Choice (4) Response

a.

Non-real except one positive real root

b.

Non-real except for three real roots of which exactly one is positive

c.

Non-real except three positive real roots

d.

All necessarily real

## Question number: 2

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2011

MCQ▾

### Question

Consider the cubic equation, where a, b, c are real numbers. Which of the following statements is correct?

### Choices

Choice (4) Response

a.

If then the equation has all real and distinct roots

b.

If then the equation has real and distinct roots

c.

If then the equation has one real and two imaginary roots

d.

If then the equation has all real roots

## Question number: 3

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2012

MCQ▾

### Question

Suppose a, b, c are real numbers, and each of the equations and has two distinct real roots. Then the equation has –

### Choices

Choice (4) Response

a.

Two equal roots

b.

No real roots

c.

One positive and one negative root

d.

Two distinct positive real roots

## Question number: 4

» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers

Appeared in Year: 2015

MCQ▾

### Question

If is a complex number satisfying , then the maximum possible value of is –

### Choices

Choice (4) Response

a.

b.

c.

2

d.

1

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