Complex Numbers and Quadratic Equations-Nature of Roots (KVPY Stream-SA (Class 11) Math): Questions 1 - 2 of 2

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Question number: 1

» 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.

ax2+(a+b)x+b=0

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: 2

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2013

MCQ▾

Question

The least positive integer n for which,

n+1n1<0.2 is

Choices

Choice (4) Response
a.

25

b.

26

c.

24

d.

27

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