Basic MathematicsGeometry (KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math): Questions 10  14 of 64
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Question number: 10
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2012
Question
The sides of a triangle are distinct positive integers in an arithmetic progression. If the smallest side is 10, the number of such triangles is
Choices
Choice (4)  Response  

a.  10 

b.  9 

c.  8 

d.  infinitely many 

Question number: 11
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2012
Question
In triangle ABC, let AD, BE and CF be the internal angle bisectors with D, E and F on the sides BC, CA and AB respectively. Suppose AD, BE and CF concur at I and B, D, I, F are concyclic, then ∠IFD has measure.
Choices
Choice (4)  Response  

a.  any value ≤ 90 

b.  15 

c.  45 

d.  30 

Question number: 12
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2014
Question
In a quadrilateral ABCD, which is not a trapezium, it is known that ∠DAB = ∠ABC = 60^{0}. Moreover, ∠CAB = ∠CBD. Then
Choices
Choice (4)  Response  

a.  AB = AC + AD 

b.  AB = BC + CD 

c.  AB = AD + CD 

d.  AB = BC + AD 

Question number: 13
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
Let ABCD be a square and let P be point on segment CD such that DP: PC = 1: 2. Let Q be a point on segment AP such that ∠BQP = 90°. Then the ratio of the area of quadrilateral PQBC to the area of the square ABCD is.
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 14
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2014
Question
A semicircle of diameter 1 unit sits at the top of a semicircle of diameter 2 units. The shaded region inside the smaller semicircle but outside the larger semicircle is called a lune. The area of the lune is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

