KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 162  166 of 172
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Question number: 162
» Coordinate Geometry » Parabola
Appeared in Year: 2016
Question
Suppose the parabola , with vertex , passes through and . Let be an end point of the latus rectum. Let the intersect the axis of the parabola at . Then is equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 163
» Integral Calculus » Fundamental Integrals Involving Functions
Appeared in Year: 2016
Question
The limit equals –
Choices
Choice (4)  Response  

a. 


b.  2 

c. 


d. 


Question number: 164
» Vector Algebra » Addition of Vectors
Appeared in Year: 2016
Question
Let be a vector in the plane such that . Then lies in the interval –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 165
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2016
Question
Let ; let A and B be points respectively on axis and axis such that . Let be a point in the first quadrant such that is an equilateral triangle. Then the slope of is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 166
» Sequence and Series » Relation Between AM and GM
Appeared in Year: 2016
Question
The number of triples of real number satisfying the equation,
is –
Choices
Choice (4)  Response  

a.  4 

b.  More than 8 

c.  8 

d.  0 
