Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 46  51 of 57
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Question number: 46
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
If , then equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 47
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2015
Question
The sides of a right –angled triangle are integers. The length of one of the sides is 12. The largest possible radius of the incircle of such a triangle is –
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  5 

d.  2 

Question number: 48
» 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: 49
» 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: 50
» 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 

Question number: 51
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2015
Question
A mirror in the first quadrant is in the shape of a hyperbola whose equation is . A light source in the second quadrant emits a beam of light that hits the mirror at the points . If the reflected ray is parallel to the axis, the slope of the incident beam is –
Choices
Choice (4)  Response  

a. 


b. 


c.  2 

d. 

