Complex Numbers and Quadratic EquationsQuadratic Equations in Real and Complex Number System (KVPY StreamSA (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
Question
Let a, b, c, d be real numbers such that . Then the sum of all possible values of 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
Question
Let p, q, r, s be real numbers such that . Then the sum of all possible values of 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
Question
If x, y are natural numbers such that, 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
Question
In an acuteangled triangle ABC, the altitudes from A, B, C when extended intersect the circle again at points A_{1}, B_{1}, C_{1}, respectively. If ∠ABC = 45° then ∠A_{1}B_{1}C_{1} 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
Question
The squareroot of 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
Question
If a, b are natural numbers such that, 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
Question
If x, y are natural numbers such that, then the maximum possible value of xy is,
Choices
Choice (4)  Response  

a.  5200 

b.  41350 

c.  40596 

d.  51236 
