Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 6  9 of 64
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Question number: 6
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2012
Question
A regular octagon is formed by cutting congruent isosceles rightangled triangles from the corners of a square. If the square has sidelength 1, the sidelength of the octagon is.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 7
» Basic Mathematics » Geometry » Circle and Properties
Appeared in Year: 2012
Question
A circle is drawn in a sector of a larger circle of radius, r, as shown in the adjacent figure. The smaller circle is tangent to the two bounding radii and the arc of the sector. The radius of the small circle is.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 8
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
Suppose S_{1} and S_{2} are two unequal circles; AB and CD are the direct common tangents to these circles. A transverse common tangent PQ cuts AB in R and CD in S. If AB = 10, then RS is
Choices
Choice (4)  Response  

a.  9 

b.  8 

c.  11 

d.  10 

Question number: 9
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2014
Question
In a triangle ABC with ∠A = 90°, P is a point on BC such that PA: PB = 3: 4. If and , then BP: PC is.
Choices
Choice (4)  Response  

a.  8: 7 

b.  4: 3 

c.  4: 5 

d.  2: 1 
