KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 30  33 of 172
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Question number: 30
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2011
Question
In a rectangle ABCD, the coordinates of A and B are (1, 2) and (3, 6) respectively and some diameter of the circumscribing circle of ABCD has equation. Then the area of the rectangle is –
Choices
Choice (4)  Response  

a. 


b. 


c.  16 

d.  20 

Question number: 31
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2010
Question
Let ABC be an equilateral triangle, let KLMN be a rectangle with K, L on BC, M on AC and N on AB. Suppose and the area of triangle BKN is 6. The area of the triangle ABC is –
Choices
Choice (4)  Response  

a.  54 

b.  108 

c.  48 

d.  Question does not provide sufficient data or is vague 

Question number: 32
» Trigonometry » Trigonometric Functions
Appeared in Year: 2011
Question
Let and Then T,
Choices
Choice (4)  Response  

a.  Is independent of A, B, C, D, E 

b.  Depends on A, B, C, D, E 

c.  Depend on B, D but independent of A, C, E 

d.  Depends on A, C, E but independent of B and D 

Question number: 33
» Integral Calculus » Evaluation of Definite Integrals
Appeared in Year: 2010
Question
Let, where n is nonnegative integer. Then is equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

