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 Equation be a quadratic polynomial with Equation andEquation . Then the coefficient of Equation in Equation 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 satisfyEquation ?

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.

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

Equation is

Choices

Choice (4) Response

a.

25

b.

26

c.

24

d.

27

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