Basic MathematicsAlgebra (KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 1  5 of 8
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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. 

