KVPY (Kishore Vaigyanik Protsahan Yojana) Stream SBSX (Class 12 & 1st Year B.Sc.) Math: Questions 54  59 of 172
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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 

Question number: 55
» Trigonometry » Trigonometric Identities and Equations
Appeared in Year: 2014
Question
The number of solutions to the equations in the interval [0, 2π] is –
Choices
Choice (4)  Response  

a.  2 

b.  6 

c.  0 

d.  4 

Question number: 56
» Integral Calculus » Integration Using Trigonometric Identities
Appeared in Year: 2012
Question
The value is –
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 57
» Basic Mathematics » Algebra » Simplifying Expressions
Appeared in Year: 2013
Question
Let 𝜔 be a cube root of unity not equal to 1. Then the maximum possible value of where a, b, c ∈ {+1, 1} is –
Choices
Choice (4)  Response  

a. 


b.  2 

c. 


d.  0 

Question number: 58
» Basic Mathematics » Geometry » Triangle and Properties
Appeared in Year: 2013
Question
The angle α, β, γ of a triangle satisfy the equation and . Then angle γ equals –
Choices
Choice (4)  Response  

a.  60^{0} 

b.  120^{0} 

c.  150^{0} 

d.  30^{0} 

Question number: 59
» Sequence and Series » Arithmetic Series
Appeared in Year: 2012
Question
Define a sequence by for . Then
Choices
Choice (4)  Response  

a.  Equals 

b.  Equals 

c.  Equals 1 

d.  None of the above 
