KVPY Stream SBSX (Class 12 & 1st Year BSC) Math: Questions 130  133 of 155
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Question number: 130
» Basic Mathematics » Geometry » Advanced Therorems and Properties
Appeared in Year: 2013
Question
The vertices of the base of an isosceles triangle lie on a parabola and the base is a part of the line . If the third vertex of the triangle lies on the X – axis, its coordinates are – (Model Paper)
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 131
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2014
Question
Let be a triangle such that . Let be the midpoint of and be a point on such that is perpendicular to . If then the ratio equals:
Choices
Choice (4)  Response  

a.  1 

b. 


c. 


d. 


Question number: 132
» Statistics and Probability » Probability of an Event
Appeared in Year: 2015
Question
Let and let a subset of be chosen so that every pair of elements of A differ by at least 3. (For example, if , A can be , {2} or {1, 5} among others). When let the probability that be and let the probability that be . Then –
Choices
Choice (4)  Response  

a.  and 

b.  and 

c.  and 

d.  and 

Question number: 133
» Integral Calculus » Evaluation of Definite Integrals
Appeared in Year: 2015
Question
Define a function by , where is fixed natural number. Then
is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

