Basic Mathematics (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 39  42 of 164
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Question number: 39
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2010
Write in Short
In a triangle ABC, D and E are points on AB, AC respectively such that DE is parallel to BC. Suppose BE, CD intersect at O. If the areas of the triangles ADE and ODE are 3 and 1 respectively, find the area of the triangle ABC, with justification,
Question number: 40
» 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: 41
» 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: 42
» 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. 

