KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 136  141 of 172
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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 

Question number: 140
» Matrices and Determinants » Evaluation of Determinants
Appeared in Year: 2015
Question
The remainder when the determinant,
is divided by is –
Choices
Choice (4)  Response  

a.  1 

b.  3 

c.  4 

d.  2 

Question number: 141
» Trigonometry » Trigonometric Identities and Equations
Appeared in Year: 2015
Question
The number of real numbers for which the equality
Holds for all real which are not integral multiple of is –
Choices
Choice (4)  Response  

a.  Infinite 

b.  3 

c.  2 

d.  1 
