Complex Numbers and Quadratic Equations-Quadratic Equations in Real and Complex Number System (KVPY Stream-SA (Class 11) Math): Questions 1 - 7 of 7

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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 » 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

Question number: 4

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

Appeared in Year: 2013

MCQ▾

Question

In an acute-angled triangle ABC, the altitudes from A, B, C when extended intersect the circle again at points A1, B1, C1, respectively. If ∠ABC = 45° then ∠A1B1C1 equals.

Choices

Choice (4) Response

a.

135°

b.

45°

c.

60°

d.

90°

Question number: 5

» 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: 6

» 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: 7

» 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

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