Complex Numbers and Quadratic Equations (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream-SA (Class 11) Math): Questions 1 - 7 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 Equation . Then the sum of all possible values of Equation 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 Equation . Then the sum of all possible values of Equation 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 Equation , then Equation is,

Choices

Choice (4) Response

a.

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

b.

Equation

c.

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

d.

Equation

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 Equation and Equation , then Equation 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 Equation and Equation , then Equation 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 thatEquation , then the minimum possible value of xy is,

Choices

Choice (4) Response

a.

750

b.

671

c.

800

d.

816

Question number: 7

» 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°

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