KVPY StreamSA (Class 11) Math: Questions 6  10 of 251
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Question number: 6
» Coordinate Geometry » Angles Between Two Lines
Appeared in Year: 2011
Question
In the adjoining figure AB = 12 cm, CD = 8 cm, BD = 20 cm; ∠ ABD = ∠ AEC = ∠ EDC = 90 ^{0}. If BE = x, then,
Choices
Choice (4)  Response  

a.  x has only one value and  
b.  x has two possible values whose difference is 4  
c.  x has two possible values whose sum is 28  
d.  x cannot be determined with the given information 
Question number: 7
» Sets, Relations and Functions » Equivalence Relations
Appeared in Year: 2011
Question
Below are four equations in x. Assume that 0 < r < 4. Which of the following has the largest solution for x?
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 8
» Sets, Relations and Functions » Sets and Their Representation
Question
Let a, b, x, y be real numbers such that , and . Then the set of all possible values of is –
Choices
Choice (4)  Response  

a. 
 
b. 
 
c.  {0}  
d. 

Question number: 9
» Coordinate Geometry » Equations of Internal and External Bisectors of Angles
Appeared in Year: 2011
Question
Let ABC be a triangle with ∠ B = 90 ^{0}. Let AD be the bisector of ∠ A with D on BC. Suppose AC = 6 cm and the area of the triangle ADC is 10 cm ^{2}. Then the length of BD in cm is equal to
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 10
» Basic Mathematics » Arithmetic » Rates
Appeared in Year: 2011
Question
Three taps A, B, C fill up a tank independently in 10 hr, 20 hr, 30 hr respectively. Initially the tank is empty and exactly one pair of taps is open during each hour and every pair of taps is open at least for one hour. What is the minimum number of hours required to fill the tank?
Choices
Choice (4)  Response  

a.  9  
b.  11  
c.  8  
d.  10 