Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 20  23 of 64
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Question number: 20
» Basic Mathematics » Geometry » Circle and Properties
Appeared in Year: 2012
Question
Suppose Q is a point on the circle with centre P and radius 1, as shown in the figure; R is a point outside the circle such that QR = 1 and ∠QRP = 2? . Let S be the point where the segment RP intersects the given circle. Then measure of ∠RQS equals.
Choices
Choice (4)  Response  

a.  89 

b.  87 

c.  88 

d.  86 

Question number: 21
» Basic Mathematics » Geometry » Lines and Angles
Appeared in Year: 2013
Question
Ten points lie in a plane so that no three of them are collinear. The number of lines passing through exactly two of these points and dividing the plane into two regions each containing four of the remaining points is,
Choices
Choice (4)  Response  

a.  10 

b.  1 

c.  5 

d.  Dependent on the configuration of points 

Question number: 22
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
A cow is tied to a corner (vertex) of a regular hexagonal fenced area of side a meter by a rope of length meter in a grass field. (The cow cannot graze inside the fenced area. ) What is the maximum possible area of the grass field to which the cow has access to graze?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 23
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
In a rectangle ABCD, points X and Y are the midpoints of AD and DC, respectively. Lines BX and CD when extended intersect at E, lines BY and AD when extended intersect at F. If the area of ABCD is 60 then the area of BEF is.
Choices
Choice (4)  Response  

a.  90 

b.  80 

c.  60 

d.  120 
