# Complex Numbers and Quadratic Equations (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 8 - 12 of 27

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## Question number: 8

» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients

Appeared in Year: 2012

MCQ▾

### Question

Let be a quadratic polynomial with and. Then the coefficient of in is

### Choices

Choice (4) Response

a.

1

b.

4

c.

2

d.

3

## Question number: 9

» Complex Numbers and Quadratic Equations » Complex Numbers as Ordered Pairs of Reals

Appeared in Year: 2012

MCQ▾

### Question

How many ordered pairs of (m, n) integers satisfy?

### Choices

Choice (4) Response

a.

30

b.

10

c.

15

d.

12

## Question number: 10

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2013

MCQ▾

### Question

Let a, b be non-zero real numbers. Which of the following statements about the quadratic equation.

Is necessarily true?

(I) It has at least one negative root

(III) Both roots are negative

(II) Both its roots are real.

(IV) It has at least one positive root.

Select the correct option,

### Choices

Choice (4) Response

a.

(III) and (IV) are correct

b.

(I) and (II) are correct

c.

(I), (II) and (III) are correct

d.

(I) and (III) are correct

## Question number: 11

» Complex Numbers and Quadratic Equations » Formation of Quadratic Equations With Given Roots

Appeared in Year: 2014

MCQ▾

### Question

Let and , where a and b are positive integers. Suppose and. If the coefficient of the highest degree term of k (x) is 1, the sum of the roots of is

### Choices

Choice (4) Response

a.

6

b.

5

c.

4

d.

7

## Question number: 12

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2013

MCQ▾

### Question

The least positive integer n for which,

is

### Choices

Choice (4) Response

a.

25

b.

26

c.

24

d.

27

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