Basic MathematicsAlgebra (KVPY Stream SBSX (Class 12 & 1st Year BSC) Math): Questions 1  5 of 7
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Question number: 1
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2010
Question
Let be a differentiable function such that and for some a < b. Then the minimum numbers of roots of in the interval (a, b) is –
Choices
Choice (4)  Response  

a.  0  
b.  1  
c.  3  
d.  2 
Question number: 2
» Basic Mathematics » Algebra » Solutions to Equations
Appeared in Year: 2012
Question
In the real number system, the equation has –
Choices
Choice (4)  Response  

a.  No solution  
b.  Exactly two distinct solutions  
c.  Infinitely many solutions  
d.  Exactly four distinct solutions 
Question number: 3
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2013
Question
Let ω be a cube root of unity not equal to 1. Then the maximum possible value of where a, b, c ∈ {+1, 1} is –
Choices
Choice (4)  Response  

a. 
 
b.  2  
c. 
 
d.  0 
Question number: 4
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2012
Question
The maximum value M of , as x varies over real, satisfies –
Choices
Choice (4)  Response  

a. 
 
b.  9 < M < 25  
c. 
 
d. 

Question number: 5
» Basic Mathematics » Algebra » Solutions to Equations
Appeared in Year: 2014
Question
Suppose a parabola has two intercepts one positive and one negative, and its vertex is . Then which of the following is true –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 
