Complex Numbers and Quadratic Equations (KVPY StreamSA (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
Question
The least positive integer n for which,
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
Question
Let p be a root of the equation . The value of 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
Question
Let r be a root of the equation . The value of 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
Question
The squareroot of 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
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: 17
» 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 

Question number: 18
» Complex Numbers and Quadratic Equations » Relation Between Roots and Coefficients
Question
If the roots of the equation 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
Question
Let α be a root of the equation . The value of is equal to
Choices
Choice (4)  Response  

a.  –126 

b.  240 

c.  48 

d.  – 48 
