KVPY (Kishore Vaigyanik Protsahan Yojana) StreamSA (Class 11) Math: Questions 6  9 of 265
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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. 

