KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 88  91 of 172
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 172 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 150.00 or
Question number: 88
» Coordinate Geometry » Ellipse
Appeared in Year: 2014
Question
In a ellipse, its foci and the ends of its major axis are equally spaced, if the length its semi – minor axis is , then the length of its semi – major axis is:
Choices
Choice (4)  Response  

a.  3 

b.  4 

c. 


d. 


Question number: 89
» Integral Calculus » Integration Using Trigonometric Identities
Appeared in Year: 2013
Question
A function is defined as,
It is a family of quadratic polynomials in with variable coefficients. And also function,
Which of the following statements are true?
(i)
(ii) has infinitely many critical points.
(iii) (Model Paper)
Choices
Choice (4)  Response  

a.  (iii) and (i) only 

b.  (i) and (ii) only 

c.  (iii) only 

d.  (ii) and (iii) only 

Question number: 90
» Basic Mathematics » Arithmetic » Number Games
Appeared in Year: 2013
Question
Let be a positive integer such that
Let be the number of digits in the binary expansion of . Then the minimum and maximum possible values of are – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 91
» Integral Calculus » Integral as Limit of a Sum
Appeared in Year: 2014
Question
For a real number let denote the largest integer less than or equal to and . Let be a positive integer. Then is equal to –
Choices
Choice (4)  Response  

a.  0 

b. 


c.  1 

d. 

