KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 140  145 of 172
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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 

Question number: 142
» Coordinate Geometry » Parabola
Appeared in Year: 2015
Question
The number of ordered pairs of real numbers that satisfy the simulation equations is –
Choices
Choice (4)  Response  

a.  4 

b.  0 

c.  2 

d.  1 

Question number: 143
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2015
Question
Suppose are positive integers such that . Then is equal to –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 144
» Integral Calculus » Fundamental Integrals Involving Functions
Appeared in Year: 2015
Question
Let be a continuous function satisfying,
For all . Then –
Choices
Choice (4)  Response  

a. 


b.  is an odd function 

c. 


d.  has more than 1 point in common with the axis 

Question number: 145
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2015
Question
Let be a polynomial such that , where is a positive integer. Then equals –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

