KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 49  54 of 172
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Question number: 49
» Integral Calculus » Evaluation of Simple Integrals
Appeared in Year: 2012
Question
Let [x] and {x} are be the integer part and fractional part of a real number x respectively. The value of the integral, is –
Choices
Choice (4)  Response  

a.  5 

b. 


c.  35.5 

d.  34.5 

Question number: 50
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
Let ABC be an acute – angled triangle and let D be the midpoint of BC. If AB = AD, then equals,
Choices
Choice (4)  Response  

a.  2 

b.  3 

c. 


d. 


Question number: 51
» Coordinate Geometry » Straight Lines
Appeared in Year: 2013
Question
If a, b are positive real numbers such that the lines and are parallel, then the least possible value of is–
Choices
Choice (4)  Response  

a.  8 

b.  12 

c.  13 

d.  6 

Question number: 52
» Differential Calculus » Geometric Interpretation of Derivative » Tangents
Appeared in Year: 2013
Question
The sum of nonreal roots of the polynomial equation
Choices
Choice (4)  Response  

a.  Equals 0 

b.  Has absolute value bigger than 1 

c.  Lies between 0 and 1 

d.  Lies between 1 and 0 

Question number: 53
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2012
Question
Let for all. Let, and generally for n > 1.
Let, which of the following is a multiple of P
Choices
Choice (4)  Response  

a.  125 

b.  375 

c.  250 

d.  147 

Question number: 54
» Coordinate Geometry » Distance Formula
Appeared in Year: 2013
Question
Consider a triangle ABC in the XY – plane with vertices A = (0, 0), B = (1, 1) and C = (9, 1). If the line x = a divides the triangle into two parts of equal area, then a equals –
Choices
Choice (4)  Response  

a.  3 

b.  4.5 

c.  3.5 

d.  4 
