KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 1  5 of 172
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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
» Complex Numbers and Quadratic Equations » Nature of Roots
Appeared in Year: 2010
Question
The roots of are –
Choices
Choice (4)  Response  

a.  Nonreal except one positive real root 

b.  Nonreal except for three real roots of which exactly one is positive 

c.  Nonreal except three positive real roots 

d.  All necessarily real 

Question number: 3
» Sets, Relations and Functions » Types of Relations
Appeared in Year: 2011
Question
Which of the following interval is possible domain of the function , where is the greatest integer not exceeding x and ?
Choices
Choice (4)  Response  

a.  (0, 1) 

b.  (1, 2) 

c.  (2, 3) 

d.  (3, 5) 

Question number: 4
» Coordinate Geometry » Distance Formula
Appeared in Year: 2011
Question
The minimum distance between a point on the curve and a point on the curve is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Coordinate Geometry » Locus and Its Equation
Appeared in Year: 2010
Question
The figure shown below is the graph of the derivative of some function .
Choices
Choice (4)  Response  

a.  3 

b.  1 

c.  2 

d.  None of the above 
