Complex Numbers and Quadratic Equations (KVPY Stream-SA (Class 11) Math): Questions 1 - 6 of 27

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Question number: 1

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

Appeared in Year: 2011

MCQ▾

Question

Let a, b, c, d be real numbers such that ab =2, bc =3, cd =4 . Then the sum of all possible values of ad is,

Choices

Choice (4) Response

a.

18

b.

24

c.

9

d.

30

Question number: 2

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

MCQ▾

Question

Let p, q, r, s be real numbers such that pq =5, qr =6, rs =7 . Then the sum of all possible values of p+s is,

Choices

Choice (4) Response

a.

16

b.

66

c.

36

d.

96

Question number: 3

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

Appeared in Year: 2011

MCQ▾

Question

If x+1x=a,x2+1x3=b , then x3+1x2 is,

Choices

Choice (4) Response

a.

a 3 + a 2 + 3 a - 16 - b

b.

a3a23a+4b

c.

a 3 - a 2 + 3 a - 6 - b

d.

a3+a23a2b

Question number: 4

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

Appeared in Year: 2013

MCQ▾

Question

Let x, y, z be non-zero real numbers such that xy+yz+zx=7 and yx+zy+xz=9 , then x3y3+y3z3+z3x33 is equal to

Choices

Choice (4) Response

a.

153

b.

154

c.

152

d.

155

Question number: 5

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

MCQ▾

Question

Let p, q, r be non-zero real numbers such that pq+qr+rp=10 and qp+rq+pr=12 , then p3q3+q3r3+r3p33 is equal to,

Choices

Choice (4) Response

a.

553

b.

550

c.

640

d.

654

Question number: 6

» 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 minimum possible value of xy is,

Choices

Choice (4) Response

a.

750

b.

671

c.

800

d.

816

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