KVPY StreamSA (Class 11) Math: Questions 55  60 of 265
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Question number: 55
» 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: 56
» Basic Mathematics » Algebra » Solving Equations
Appeared in Year: 2009
Question
The number of pairs of reals (x, y) such that and is
Choices
Choice (4)  Response  

a.  4 

b.  2 

c.  3 

d.  1 

Question number: 57
» Complex Numbers and Quadratic Equations » Nature of Roots
Appeared in Year: 2013
Question
The least positive integer n for which,
is
Choices
Choice (4)  Response  

a.  25 

b.  26 

c.  24 

d.  27 

Question number: 58
» Coordinate Geometry » Circles
Appeared in Year: 2013
Question
Tangents to a circle at points P and Q on the circle intersect at a point R. If PQ = 6 and PR = 5 then the radius of the circle is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  4 

Question number: 59
» Basic Mathematics » Arithmetic » Ratio and Proportion
Appeared in Year: 2013
Question
A person X is running around a circular track completing one round every 40 seconds. Another person Y running in the opposite direction meets X every 15 second. The time, expressed in seconds, taken by Y to complete one round is
Choices
Choice (4)  Response  

a.  55 

b.  12.5 

c.  25 

d.  24 

Question number: 60
» 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 
