KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 6  11 of 172
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Question number: 6
» Coordinate Geometry » Locus and Its Equation
Appeared in Year: 2011
Question
All the points (x, y) in the plane satisfying the equation lie on –
Choices
Choice (4)  Response  

a.  a pair of straight lines 

b.  a parabola 

c.  a family of hyperbolas 

d.  an ellipse 

Question number: 7
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2011
Question
Suppose The smallest possible integer value of c for all a, b > 1 is –
Choices
Choice (4)  Response  

a.  2 

b.  3 

c.  1 

d.  4 

Question number: 8
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2011
Question
The value of
is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 9
» Binomial Theorem » Expansion and Simple Applications
Appeared in Year: 2011
Question
If where x is a real variable and n is a positive integer, then the value of, is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 10
» Sets, Relations and Functions » Union, Intersection and Complement of Sets
Appeared in Year: 2010
Question
Consider the region and in the plane. Then the area of the region is
Choices
Choice (4)  Response  

a.  100 

b.  100π 

c.  50π 

d.  10 π 

Question number: 11
» Coordinate Geometry » Parabola
Appeared in Year: 2011
Question
In the xy – plane, three distinct lines concur at a point (λ, 0). Further the lines are normal to the parabola at the points respectively. Then we have –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

