Complex Numbers and Quadratic Equations (KVPY Stream-SA (Class 11) Math): Questions 12 - 19 of 27

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Question number: 12

» 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

Question number: 13

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

MCQ▾

Question

Let p be a root of the equation x2+2x+3=0 . The value of (p+1)(p+2)(p+3) is equal to

Choices

Choice (4) Response

a.

5

b.

6

c.

-5

d.

-6

Question number: 14

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

Appeared in Year: 2014

MCQ▾

Question

Let r be a root of the equation x2+2x+6=0 . The value of (r+2)(r+3)(r+4)(r+5) is equal to

Choices

Choice (4) Response

a.

126

b.

-51

c.

-126

d.

51

Question number: 15

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

Appeared in Year: 2012

MCQ▾

Question

The square-root of 0.75310.75+(0.75+0.752+1) is

Choices

Choice (4) Response

a.

3

b.

4

c.

2

d.

1

Question number: 16

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

Appeared in Year: 2013

MCQ▾

Question

If a, b are natural numbers such that 2013+a2=b2 , then the minimum possible value of ab is.

Choices

Choice (4) Response

a.

0

b.

2

c.

1

d.

3

Question number: 17

» Complex Numbers and Quadratic Equations » Quadratic Equations in Real and Complex Number System

MCQ▾

Question

If x, y are natural numbers such that 2015+y2=x2 , then the maximum possible value of xy is,

Choices

Choice (4) Response

a.

5200

b.

41350

c.

40596

d.

51236

Question number: 18

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

MCQ▾

Question

If the roots of the equation 3x2+px+q=0 are reciprocals to each other, then value of q is –

Choices

Choice (4) Response

a.

2

b.

4

c.

9

d.

3

Question number: 19

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

MCQ▾

Question

Let α be a root of the equation x2+4x+8=0 . The value of (α+2)(α+4)(α+6)(α+8) is equal to-

Choices

Choice (4) Response

a.

–126

b.

-240

c.

48

d.

– 48

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