KVPY Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 75  79 of 172
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Question number: 75
» Complex Numbers and Quadratic Equations » Nature of Roots
Appeared in Year: 2012
Question
Suppose a, b, c are real numbers, and each of the equations and has two distinct real roots. Then the equation has –
Choices
Choice (4)  Response  

a.  Two equal roots 

b.  No real roots 

c.  One positive and one negative root 

d.  Two distinct positive real roots 

Question number: 76
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2012
Question
The maximum value M of, as x varies over real, satisfies –
Choices
Choice (4)  Response  

a. 


b.  9 < M < 25 

c. 


d. 


Question number: 77
» Basic Mathematics » Arithmetic » Simplifying Expressions
Appeared in Year: 2012
Question
Let (x, y) be a variable point on the curve. Then is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 78
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2012
Question
The number of ordered pairs (m, n), where such that 6^{m} + 9^{n} is a multiple of 5 is –
Choices
Choice (4)  Response  

a.  500 

b.  2500 

c.  1250 

d.  625 

Question number: 79
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2013
Question
Let and . Which of the following statements are true?
(i) Domain of = Domain of
(ii) Domain of = Domain of
(iii) Domain of = Domain of
(iv) Domain of = Domain of
Choices
Choice (4)  Response  

a.  Only (i) and (iv) 

b.  Only (i) 

c.  Only (iii) and (v) 

d.  Only (i) and (ii) 
