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

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 150.00 or

Question number: 1

» Complex Numbers and Quadratic Equations » Nature of Roots

Appeared in Year: 2010

MCQ▾

Question

The roots of Equation 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 equationEquation , where a, b, c are real numbers. Which of the following statements is correct?

Choices

Choice (4) Response

a.

If Equation then the equation has all real and distinct roots

b.

If Equation then the equation has real and distinct roots

c.

If Equation then the equation has one real and two imaginary roots

d.

If Equation 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 Equation and Equation has two distinct real roots. Then the equation 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 Equation is a complex number satisfying Equation , then the maximum possible value of Equation is –

Choices

Choice (4) Response

a.

Equation

b.

Equation

c.

2

d.

1

f Page
Sign In