KVPY Stream SBSX (Class 12 & 1st Year BSC) Math: Questions 50  54 of 155
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 155 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: 50
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
Let ABC be an acute – angled triangle and let D be the midpoint of BC. If AB = AD, then equals,
Choices
Choice (4)  Response  

a.  2  
b.  3  
c. 
 
d. 

Question number: 51
» Coordinate Geometry » Straight Lines
Appeared in Year: 2013
Question
If a, b are positive real numbers such that the lines and are parallel, then the least possible value of is–
Choices
Choice (4)  Response  

a.  8  
b.  12  
c.  13  
d.  6 
Question number: 52
» Differential Calculus » Geometric Interpretation of Derivative » Tangents
Appeared in Year: 2013
Question
The sum of nonreal roots of the polynomial equation
Choices
Choice (4)  Response  

a.  Equals 0  
b.  Has absolute value bigger than 1  
c.  Lies between 0 and 1  
d.  Lies between 1 and 0 
Question number: 53
» Sets, Relations and Functions » Functions and Composition
Appeared in Year: 2012
Question
Let for all . Let , and generally for n > 1.
Let, which of the following is a multiple of P
Choices
Choice (4)  Response  

a.  125  
b.  375  
c.  250  
d.  147 
Question number: 54
» Coordinate Geometry » Distance Formula
Appeared in Year: 2013
Question
Consider a triangle ABC in the XY – plane with vertices A = (0, 0), B = (1, 1) and C = (9, 1). If the line x = a divides the triangle into two parts of equal area, then a equals –
Choices
Choice (4)  Response  

a.  3  
b.  4.5  
c.  3.5  
d.  4 