KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 142  146 of 172
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Question number: 142
» Coordinate Geometry » Parabola
Appeared in Year: 2015
Question
The number of ordered pairs of real numbers that satisfy the simulation equations is –
Choices
Choice (4)  Response  

a.  4 

b.  0 

c.  2 

d.  1 

Question number: 143
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2015
Question
Suppose are positive integers such that . Then is equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 144
» Integral Calculus » Fundamental Integrals Involving Functions
Appeared in Year: 2015
Question
Let be a continuous function satisfying,
For all . Then –
Choices
Choice (4)  Response  

a. 


b.  is an odd function 

c. 


d.  has more than 1 point in common with the axis 

Question number: 145
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
Let be a polynomial such that , where is a positive integer. Then equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 146
» Basic Mathematics » Geometry » Circle and Properties
Appeared in Year: 2015
Question
Among all sectors of a fixed perimeter, choose the one with maximum area. Then the angle at the centre of this sector (i. e. , the angle between the bounding radii) is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  2 
