KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 134  139 of 172
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Question number: 134
» Basic Mathematics » Geometry » Polygons With More Than 4 Sides
Appeared in Year: 2015
Question
Suppose is a hexagon such that and . If the vertices A, B, C, D, E, F are concyclic, the radius of the circle passing through them is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 135
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
If , then equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 136
» Coordinate Geometry » Equation of a Circle
Appeared in Year: 2015
Question
The shortest distance from the origin to a variable point on the sphere is –
Choices
Choice (4)  Response  

a.  8 

b.  7 

c.  5 

d.  6 

Question number: 137
» Coordinate Geometry » Intercepts of a Line on Coordinate Axes
Appeared in Year: 2015
Question
Suppose OABC is a rectangle in the plane where is the origin and A, B lie on the parabola . Then must lie on the curve –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 138
» Complex Numbers and Quadratic Equations » Algebra of Complex Numbers
Appeared in Year: 2015
Question
If is a complex number satisfying , then the maximum possible value of is –
Choices
Choice (4)  Response  

a. 


b. 


c.  2 

d.  1 

Question number: 139
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2015
Question
The sides of a right –angled triangle are integers. The length of one of the sides is 12. The largest possible radius of the incircle of such a triangle is –
Choices
Choice (4)  Response  

a.  3 

b.  4 

c.  5 

d.  2 
