Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math): Questions 32  35 of 57
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Question number: 32
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
Let be the circle in the XY – plane. For each , let be the line passing through and . Note that intersects C in two points, one of which is . Let be the other point. As varies between and , the collection of points sweeps out an arc on C. The angle subtended by this are at is:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 33
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2014
Question
If is a positive integer and is a cube root of unity, the number of possible values of
is –
Choices
Choice (4)  Response  

a.  6 

b.  4 

c.  2 

d.  3 

Question number: 34
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
In a triangle , let G denote its centroid and let M, N be points in the interiors of the segments , respectively, such that are collinear. If denotes the ratio of the area of triangle to the area of then, (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 35
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2014
Question
Let . The number of elements in S such that is divisible by 19 is –
Choices
Choice (4)  Response  

a.  18 

b.  1 

c.  38 

d.  19 
