Basic MathematicsGeometry (KVPY StreamSA (Class 11) Math): Questions 9  13 of 62
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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 
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. 
